2648565864 has 288 divisors, whose sum is σ = 9086575680. Its totient is φ = 705563136.

The previous prime is 2648565841. The next prime is 2648565877. The reversal of 2648565864 is 4685658462.

2648565864 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 56 + 586 + 4 = 666.

It is a super-2 number, since 2×2648565864² = 14029802271892132992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2648565864.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24752899 + ... + 24753005.

It is an arithmetic number, because the mean of its divisors is an integer number (31550610).

Almost surely, 2^2648565864 is an apocalyptic number.

2648565864 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 2648565864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543287840).

2648565864 is an abundant number, since it is smaller than the sum of its proper divisors (6438009816).

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

2648565864 is a wasteful number, since it uses less digits than its factorization.

2648565864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 136 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The square root of 2648565864 is about 51464.2192595982. The cubic root of 2648565864 is about 1383.5778237754.

The spelling of 2648565864 in words is "two billion, six hundred forty-eight million, five hundred sixty-five thousand, eight hundred sixty-four".