2615664051 has 288 divisors, whose sum is σ = 5676652800. Its totient is φ = 1136540160.

The previous prime is 2615664049. The next prime is 2615664059. The reversal of 2615664051 is 1504665162.

2615664051 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 6 + 640 + 5 + 1 = 666.

It is not a de Polignac number, because 2615664051 - 2¹ = 2615664049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2615663997 and 2615664015.

It is not an unprimeable number, because it can be changed into a prime (2615664059) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44333260 + ... + 44333318.

It is an arithmetic number, because the mean of its divisors is an integer number (19710600).

Almost surely, 2^2615664051 is an apocalyptic number.

2615664051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2615664051 is an abundant number, since it is smaller than the sum of its proper divisors (3060988749).

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

2615664051 is a wasteful number, since it uses less digits than its factorization.

2615664051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2615664051 is about 51143.5631433712. The cubic root of 2615664051 is about 1377.8247693676.

It can be divided in two parts, 2615 and 664051, that added together give a palindrome (666666).

The spelling of 2615664051 in words is "two billion, six hundred fifteen million, six hundred sixty-four thousand, fifty-one".