2651615460 has 288 divisors, whose sum is σ = 9444597120. Its totient is φ = 613840896.

The previous prime is 2651615459. The next prime is 2651615521. The reversal of 2651615460 is 645161562.

2651615460 is a `hidden beast` number, since 2 + 6 + 51 + 61 + 546 + 0 = 666.

It is a super-2 number, since 2×2651615460² = 14062129095422023200, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2028127 + ... + 2029433.

It is an arithmetic number, because the mean of its divisors is an integer number (32793740).

Almost surely, 2^2651615460 is an apocalyptic number.

2651615460 is a gapful number since it is divisible by the number (20) 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 2651615460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722298560).

2651615460 is an abundant number, since it is smaller than the sum of its proper divisors (6792981660).

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

2651615460 is a wasteful number, since it uses less digits than its factorization.

2651615460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1347 counting only the distinct ones).

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

The square root of 2651615460 is about 51493.8390489581. The cubic root of 2651615460 is about 1384.1086437539.

The spelling of 2651615460 in words is "two billion, six hundred fifty-one million, six hundred fifteen thousand, four hundred sixty".