2152121664 has 224 divisors, whose sum is σ = 7517684736. Its totient is φ = 526049280.

The previous prime is 2152121651. The next prime is 2152121677. The reversal of 2152121664 is 4661212512.

It is an interprime number because it is at equal distance from previous prime (2152121651) and next prime (2152121677).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 247047 + ... + 255609.

Almost surely, 2^2152121664 is an apocalyptic number.

2152121664 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 2152121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758842368).

2152121664 is an abundant number, since it is smaller than the sum of its proper divisors (5365563072).

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

2152121664 is a wasteful number, since it uses less digits than its factorization.

2152121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8613 (or 8603 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 2152121664 is about 46390.9653273135. The cubic root of 2152121664 is about 1291.0872919468.

The spelling of 2152121664 in words is "two billion, one hundred fifty-two million, one hundred twenty-one thousand, six hundred sixty-four".