2551505256 has 96 divisors (see below), whose sum is σ = 7036286400. Its totient is φ = 835084800.

The previous prime is 2551505221. The next prime is 2551505287. The reversal of 2551505256 is 6525051552.

2551505256 is a `hidden beast` number, since 2 + 551 + 5 + 0 + 52 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2551505256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933765 + ... + 1935083.

It is an arithmetic number, because the mean of its divisors is an integer number (73294650).

Almost surely, 2^2551505256 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 2551505256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518143200).

2551505256 is an abundant number, since it is smaller than the sum of its proper divisors (4484781144).

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

2551505256 is a wasteful number, since it uses less digits than its factorization.

2551505256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The square root of 2551505256 is about 50512.4267482765. The cubic root of 2551505256 is about 1366.4659756333.

The spelling of 2551505256 in words is "two billion, five hundred fifty-one million, five hundred five thousand, two hundred fifty-six".