2651624640 has 448 divisors, whose sum is σ = 11323929600. Its totient is φ = 570212352.

The previous prime is 2651624639. The next prime is 2651624641. The reversal of 2651624640 is 464261562.

2651624640 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 6 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2651624639) and next prime (2651624641).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2651624640² = 14062226462910259200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2651624595 and 2651624604.

It is not an unprimeable number, because it can be changed into a prime (2651624641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026871 + ... + 1029449.

Almost surely, 2^2651624640 is an apocalyptic number.

2651624640 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 2651624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661964800).

2651624640 is an abundant number, since it is smaller than the sum of its proper divisors (8672304960).

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

2651624640 is a wasteful number, since it uses less digits than its factorization.

2651624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2651624640 is about 51493.9281857580. The cubic root of 2651624640 is about 1384.1102410321.

The spelling of 2651624640 in words is "two billion, six hundred fifty-one million, six hundred twenty-four thousand, six hundred forty".