2157634501260 has 192 divisors, whose sum is σ = 7092250970112. Its totient is φ = 479762417664.

The previous prime is 2157634501259. The next prime is 2157634501301. The reversal of 2157634501260 is 621054367512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160257289 + ... + 160270751.

It is an arithmetic number, because the mean of its divisors is an integer number (36938807136).

Almost surely, 2^{2157634501260} is an apocalyptic number.

2157634501260 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 2157634501260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546125485056).

2157634501260 is an abundant number, since it is smaller than the sum of its proper divisors (4934616468852).

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

2157634501260 is a wasteful number, since it uses less digits than its factorization.

2157634501260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23832 (or 23830 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

Adding to 2157634501260 its reverse (621054367512), we get a palindrome (2778688868772).

The spelling of 2157634501260 in words is "two trillion, one hundred fifty-seven billion, six hundred thirty-four million, five hundred one thousand, two hundred sixty".