2149265664 has 720 divisors, whose sum is σ = 8476288128. Its totient is φ = 525533184.

The previous prime is 2149265621. The next prime is 2149265683. The reversal of 2149265664 is 4665629412.

2149265664 is a `hidden beast` number, since 21 + 49 + 26 + 566 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32078559 + ... + 32078625.

Almost surely, 2^2149265664 is an apocalyptic number.

2149265664 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 2149265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238144064).

2149265664 is an abundant number, since it is smaller than the sum of its proper divisors (6327022464).

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

2149265664 is a wasteful number, since it uses less digits than its factorization.

2149265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2149265664 is about 46360.1732524804. The cubic root of 2149265664 is about 1290.5159212720.

The spelling of 2149265664 in words is "two billion, one hundred forty-nine million, two hundred sixty-five thousand, six hundred sixty-four".