2551430664 has 160 divisors (see below), whose sum is σ = 7504168320. Its totient is φ = 808372224.

The previous prime is 2551430663. The next prime is 2551430681. The reversal of 2551430664 is 4660341552.

2551430664 is a `hidden beast` number, since 2 + 551 + 43 + 0 + 6 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2551430663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2876029 + ... + 2876915.

It is an arithmetic number, because the mean of its divisors is an integer number (46901052).

Almost surely, 2^2551430664 is an apocalyptic number.

2551430664 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 2551430664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752084160).

2551430664 is an abundant number, since it is smaller than the sum of its proper divisors (4952737656).

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

2551430664 is a wasteful number, since it uses less digits than its factorization.

2551430664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2551430664 is about 50511.6883899162. The cubic root of 2551430664 is about 1366.4526595169.

The spelling of 2551430664 in words is "two billion, five hundred fifty-one million, four hundred thirty thousand, six hundred sixty-four".