2552847891520 has 224 divisors, whose sum is σ = 6402490579296. Its totient is φ = 968255078400.

The previous prime is 2552847891511. The next prime is 2552847891637. The reversal of 2552847891520 is 251987482552.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 477934403584 + 2074913487936 = 691328^2 + 1440456^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559710040 + ... + 559714600.

It is an arithmetic number, because the mean of its divisors is an integer number (28582547229).

Almost surely, 2^{2552847891520} is an apocalyptic number.

2552847891520 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 2552847891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201245289648).

2552847891520 is an abundant number, since it is smaller than the sum of its proper divisors (3849642687776).

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

2552847891520 is a wasteful number, since it uses less digits than its factorization.

2552847891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 58.

The spelling of 2552847891520 in words is "two trillion, five hundred fifty-two billion, eight hundred forty-seven million, eight hundred ninety-one thousand, five hundred twenty".