2552357952 has 140 divisors (see below), whose sum is σ = 7637091660. Its totient is φ = 842793984.

The previous prime is 2552357933. The next prime is 2552358071. The reversal of 2552357952 is 2597532552.

2552357952 is a `hidden beast` number, since 2 + 5 + 5 + 23 + 579 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 642318336 + 1910039616 = 25344^2 + 43704^2 .

It is a super-2 number, since 2×2552357952² = 13029062230275268608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2552357898 and 2552357907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 562798 + ... + 567314.

Almost surely, 2^2552357952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818545830).

2552357952 is an abundant number, since it is smaller than the sum of its proper divisors (5084733708).

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

2552357952 is a wasteful number, since it uses less digits than its factorization.

2552357952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4631 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 2552357952 is about 50520.8665008826. The cubic root of 2552357952 is about 1366.6181799442.

The spelling of 2552357952 in words is "two billion, five hundred fifty-two million, three hundred fifty-seven thousand, nine hundred fifty-two".