2551255704 has 320 divisors, whose sum is σ = 7922112000. Its totient is φ = 764225280.

The previous prime is 2551255691. The next prime is 2551255711. The reversal of 2551255704 is 4075521552.

2551255704 is a `hidden beast` number, since 25 + 512 + 55 + 70 + 4 = 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 79 ways as a sum of consecutive naturals, for example, 32294337 + ... + 32294415.

It is an arithmetic number, because the mean of its divisors is an integer number (24756600).

Almost surely, 2^2551255704 is an apocalyptic number.

2551255704 is a gapful number since it is divisible by the number (24) 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 2551255704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961056000).

2551255704 is an abundant number, since it is smaller than the sum of its proper divisors (5370856296).

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

2551255704 is a wasteful number, since it uses less digits than its factorization.

2551255704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 2551255704 is about 50509.9564838458. The cubic root of 2551255704 is about 1366.4214247505.

The spelling of 2551255704 in words is "two billion, five hundred fifty-one million, two hundred fifty-five thousand, seven hundred four".