2656332000 has 576 divisors, whose sum is σ = 10989748224. Its totient is φ = 595123200.

The previous prime is 2656331971. The next prime is 2656332011. The reversal of 2656332000 is 2336562.

2656332000 is a `hidden beast` number, since 2 + 6 + 5 + 633 + 20 + 0 + 0 = 666.

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, 20915937 + ... + 20916063.

It is an arithmetic number, because the mean of its divisors is an integer number (19079424).

Almost surely, 2^2656332000 is an apocalyptic number.

2656332000 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 2656332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494874112).

2656332000 is an abundant number, since it is smaller than the sum of its proper divisors (8333416224).

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

2656332000 is a wasteful number, since it uses less digits than its factorization.

2656332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2656332000 is about 51539.6158309315. The cubic root of 2656332000 is about 1384.9288150844.

Adding to 2656332000 its reverse (2336562), we get a palindrome (2658668562).

The spelling of 2656332000 in words is "two billion, six hundred fifty-six million, three hundred thirty-two thousand".