2152217664 has 63 divisors (see below), whose sum is σ = 6172136373. Its totient is φ = 717034752.

The previous prime is 2152217659. The next prime is 2152217681. The reversal of 2152217664 is 4667122512.

It is a happy number.

The square root of 2152217664 is 46392.

It is a perfect power (a square), and thus also a powerful number.

2152217664 is a `hidden beast` number, since 2 + 1 + 522 + 1 + 76 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1465358400 + 686859264 = 38280^2 + 26208^2 .

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 8 ways as a sum of consecutive naturals, for example, 1112442 + ... + 1114374.

Almost surely, 2^2152217664 is an apocalyptic number.

2152217664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2152217664 is the 46392-nd square number.

It is an amenable number.

2152217664 is an abundant number, since it is smaller than the sum of its proper divisors (4019918709).

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

2152217664 is an frugal number, since it uses more digits than its factorization.

2152217664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 1938 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 2152217664 is about 1291.1064889001.

Multiplying 2152217664 by its sum of digits (36), we get a square (77479835904 = 278352²).

2152217664 divided by its sum of digits (36) gives a square (59783824 = 7732²).

The spelling of 2152217664 in words is "two billion, one hundred fifty-two million, two hundred seventeen thousand, six hundred sixty-four".