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2505052140 = 2235127547601
BaseRepresentation
bin1001010101010000…
…0000111111101100
320110120200211111220
42111110000333230
520112243132030
61052323543340
7116035410003
oct22524007754
96416624456
102505052140
111076044828
1259ab2ab50
1330bcaab96
1419a9a7c3a
15e9dc7a10
hex95500fec

2505052140 has 96 divisors (see below), whose sum is σ = 7094083584. Its totient is φ = 660441600.

The previous prime is 2505052073. The next prime is 2505052141. The reversal of 2505052140 is 412505052.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2505052140.

It is not an unprimeable number, because it can be changed into a prime (2505052141) 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, 4167840 + ... + 4168440.

It is an arithmetic number, because the mean of its divisors is an integer number (73896704).

Almost surely, 22505052140 is an apocalyptic number.

2505052140 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 2505052140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547041792).

2505052140 is an abundant number, since it is smaller than the sum of its proper divisors (4589031444).

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

2505052140 is a wasteful number, since it uses less digits than its factorization.

2505052140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2505052140 is about 50050.4959016392. The cubic root of 2505052140 is about 1358.1224343258.

Adding to 2505052140 its reverse (412505052), we get a palindrome (2917557192).

The spelling of 2505052140 in words is "two billion, five hundred five million, fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 547 601 635 762 1094 1202 1270 1524 1641 1803 1905 2188 2404 2540 2735 3005 3282 3606 3810 5470 6010 6564 7212 7620 8205 9015 10940 12020 16410 18030 32820 36060 69469 76327 138938 152654 208407 228981 277876 305308 328747 347345 381635 416814 457962 657494 694690 763270 833628 915924 986241 1042035 1144905 1314988 1389380 1526540 1643735 1972482 2084070 2289810 3287470 3944964 4168140 4579620 4931205 6574940 9862410 19724820 41750869 83501738 125252607 167003476 208754345 250505214 417508690 501010428 626263035 835017380 1252526070 2505052140