2552610816 has 180 divisors, whose sum is σ = 8430818032. Its totient is φ = 729022464.

The previous prime is 2552610793. The next prime is 2552610829. The reversal of 2552610816 is 6180162552.

2552610816 is a `hidden beast` number, since 25 + 5 + 2 + 610 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1030956 + ... + 1033428.

Almost surely, 2^2552610816 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 2552610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215409016).

2552610816 is an abundant number, since it is smaller than the sum of its proper divisors (5878207216).

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

2552610816 is an equidigital number, since it uses as much as digits as its factorization.

2552610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2552610816 is about 50523.3690088062. The cubic root of 2552610816 is about 1366.6633090803.

The spelling of 2552610816 in words is "two billion, five hundred fifty-two million, six hundred ten thousand, eight hundred sixteen".