2552681817360 has 60 divisors (see below), whose sum is σ = 8572756439052. Its totient is φ = 680715151104.

The previous prime is 2552681817359. The next prime is 2552681817383. The reversal of 2552681817360 is 637181862552.

2552681817360 is a `hidden beast` number, since 2 + 5 + 5 + 268 + 1 + 8 + 17 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1267623788544 + 1285058028816 = 1125888^2 + 1133604^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 2552681817297 and 2552681817306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1772694987 + ... + 1772696426.

Almost surely, 2^{2552681817360} is an apocalyptic number.

2552681817360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552681817360 is an abundant number, since it is smaller than the sum of its proper divisors (6020074621692).

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

2552681817360 is a wasteful number, since it uses less digits than its factorization.

2552681817360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545391432 (or 3545391423 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2552681817360 in words is "two trillion, five hundred fifty-two billion, six hundred eighty-one million, eight hundred seventeen thousand, three hundred sixty".