2552159610 has 768 divisors, whose sum is σ = 9928396800. Its totient is φ = 457228800.

The previous prime is 2552159609. The next prime is 2552159633. The reversal of 2552159610 is 169512552.

2552159610 is a `hidden beast` number, since 2 + 5 + 52 + 1 + 596 + 10 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35945875 + ... + 35945945.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 2^2552159610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552159610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964198400).

2552159610 is an abundant number, since it is smaller than the sum of its proper divisors (7376237190).

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

2552159610 is a wasteful number, since it uses less digits than its factorization.

2552159610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 2552159610 is about 50518.9034916634. The cubic root of 2552159610 is about 1366.5827793708.

The spelling of 2552159610 in words is "two billion, five hundred fifty-two million, one hundred fifty-nine thousand, six hundred ten".