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2425240560 = 243519975483
BaseRepresentation
bin1001000010001110…
…0011101111110000
320021000111222121110
42100203203233300
514431330144220
61040353153320
7114046130121
oct22043435760
96230458543
102425240560
111034a92146
1257825b840
132c85b54b2
14190150048
15e2daebe0
hex908e3bf0

2425240560 has 160 divisors (see below), whose sum is σ = 7996988160. Its totient is φ = 606265344.

The previous prime is 2425240547. The next prime is 2425240567. The reversal of 2425240560 is 650425242.

It is a happy number.

It is a super-2 number, since 2×24252405602 = 11763583547738227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425240567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439579 + ... + 445061.

It is an arithmetic number, because the mean of its divisors is an integer number (49981176).

Almost surely, 22425240560 is an apocalyptic number.

2425240560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998494080).

2425240560 is an abundant number, since it is smaller than the sum of its proper divisors (5571747600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2425240560 is a wasteful number, since it uses less digits than its factorization.

2425240560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2425240560 is about 49246.7314651440. The cubic root of 2425240560 is about 1343.5431146141.

The spelling of 2425240560 in words is "two billion, four hundred twenty-five million, two hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 97 114 120 152 190 194 228 240 285 291 304 380 388 456 485 570 582 760 776 912 970 1140 1164 1455 1520 1552 1843 1940 2280 2328 2910 3686 3880 4560 4656 5483 5529 5820 7372 7760 9215 10966 11058 11640 14744 16449 18430 21932 22116 23280 27415 27645 29488 32898 36860 43864 44232 54830 55290 65796 73720 82245 87728 88464 104177 109660 110580 131592 147440 164490 208354 219320 221160 263184 312531 328980 416708 438640 442320 520885 531851 625062 657960 833416 1041770 1063702 1250124 1315920 1562655 1595553 1666832 2083540 2127404 2500248 2659255 3125310 3191106 4167080 4254808 5000496 5318510 6250620 6382212 7977765 8334160 8509616 10105169 10637020 12501240 12764424 15955530 20210338 21274040 25002480 25528848 30315507 31911060 40420676 42548080 50525845 60631014 63822120 80841352 101051690 121262028 127644240 151577535 161682704 202103380 242524056 303155070 404206760 485048112 606310140 808413520 1212620280 2425240560