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2480105340 = 22325191096653
BaseRepresentation
bin1001001111010011…
…0110011101111100
320101211202101221100
42103310312131330
520034401332330
61050033133100
7115313355546
oct22364663574
96354671840
102480105340
111062a55939
125926ba190
13306a84c6b
14197552696
15e7aeb060
hex93d3677c

2480105340 has 144 divisors (see below), whose sum is σ = 7992784800. Its totient is φ = 620711424.

The previous prime is 2480105311. The next prime is 2480105363. The reversal of 2480105340 is 435010842.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369454 + ... + 376106.

It is an arithmetic number, because the mean of its divisors is an integer number (55505450).

Almost surely, 22480105340 is an apocalyptic number.

2480105340 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 2480105340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996392400).

2480105340 is an abundant number, since it is smaller than the sum of its proper divisors (5512679460).

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

2480105340 is a wasteful number, since it uses less digits than its factorization.

2480105340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2480105340 is about 49800.6560197755. The cubic root of 2480105340 is about 1353.5990549492.

The spelling of 2480105340 in words is "two billion, four hundred eighty million, one hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 109 114 171 180 190 218 228 285 327 342 380 436 545 570 654 684 855 981 1090 1140 1308 1635 1710 1962 2071 2180 3270 3420 3924 4142 4905 6213 6540 6653 8284 9810 10355 12426 13306 18639 19620 19959 20710 24852 26612 31065 33265 37278 39918 41420 59877 62130 66530 74556 79836 93195 99795 119754 124260 126407 133060 186390 199590 239508 252814 299385 372780 379221 399180 505628 598770 632035 725177 758442 1137663 1197540 1264070 1450354 1516884 1896105 2175531 2275326 2528140 2900708 3625885 3792210 4351062 4550652 5688315 6526593 7251770 7584420 8702124 10877655 11376630 13053186 13778363 14503540 21755310 22753260 26106372 27556726 32632965 41335089 43510620 55113452 65265930 68891815 82670178 124005267 130531860 137783630 165340356 206675445 248010534 275567260 413350890 496021068 620026335 826701780 1240052670 2480105340