2664653004 has 96 divisors (see below), whose sum is σ = 7544839680. Its totient is φ = 808315200.

The previous prime is 2664652997. The next prime is 2664653011. The reversal of 2664653004 is 4003564662.

2664653004 is a `hidden beast` number, since 2 + 6 + 646 + 5 + 3 + 0 + 0 + 4 = 666.

2664653004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2664652997) and next prime (2664653011).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2664653004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86319 + ... + 113049.

It is an arithmetic number, because the mean of its divisors is an integer number (78592080).

Almost surely, 2^2664653004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664653004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772419840).

2664653004 is an abundant number, since it is smaller than the sum of its proper divisors (4880186676).

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

2664653004 is a wasteful number, since it uses less digits than its factorization.

2664653004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26828 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2664653004 is about 51620.2770624103. The cubic root of 2664653004 is about 1386.3734118779.

The spelling of 2664653004 in words is "two billion, six hundred sixty-four million, six hundred fifty-three thousand, four".