2551545504 has 144 divisors (see below), whose sum is σ = 7828532712. Its totient is φ = 785301504.

The previous prime is 2551545467. The next prime is 2551545547. The reversal of 2551545504 is 4055451552.

2551545504 is a `hidden beast` number, since 2 + 5 + 51 + 54 + 550 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2514821904 + 36723600 = 50148^2 + 6060^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2551545504² = 13020768917965228032, which contains 22 as substring.

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

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, 254572 + ... + 264404.

Almost surely, 2^2551545504 is an apocalyptic number.

2551545504 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 2551545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914266356).

2551545504 is an abundant number, since it is smaller than the sum of its proper divisors (5276987208).

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

2551545504 is a wasteful number, since it uses less digits than its factorization.

2551545504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The square root of 2551545504 is about 50512.8251437197. The cubic root of 2551545504 is about 1366.4731605729.

The spelling of 2551545504 in words is "two billion, five hundred fifty-one million, five hundred forty-five thousand, five hundred four".