2646102564 has 432 divisors, whose sum is σ = 8986723200. Its totient is φ = 639830016.

The previous prime is 2646102553. The next prime is 2646102577. The reversal of 2646102564 is 4652016462.

2646102564 is a `hidden beast` number, since 2 + 646 + 1 + 0 + 2 + 5 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44849167 + ... + 44849225.

It is an arithmetic number, because the mean of its divisors is an integer number (20802600).

Almost surely, 2^2646102564 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 2646102564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493361600).

2646102564 is an abundant number, since it is smaller than the sum of its proper divisors (6340620636).

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

2646102564 is a wasteful number, since it uses less digits than its factorization.

2646102564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

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

The square root of 2646102564 is about 51440.2815311114. The cubic root of 2646102564 is about 1383.1487583159.

The spelling of 2646102564 in words is "two billion, six hundred forty-six million, one hundred two thousand, five hundred sixty-four".