2132222976 has 297 divisors, whose sum is σ = 6851826891. Its totient is φ = 638337024.

The previous prime is 2132222971. The next prime is 2132222987. The reversal of 2132222976 is 6792222312.

The square root of 2132222976 is 46176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 2123366400 = 2976^2 + 46080^2 .

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

Its product of digits (36288) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 2132222976.

It is not an unprimeable number, because it can be changed into a prime (2132222971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57627630 + ... + 57627666.

Almost surely, 2^2132222976 is an apocalyptic number.

2132222976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2132222976 is the 46176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132222976

2132222976 is an abundant number, since it is smaller than the sum of its proper divisors (4719603915).

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

2132222976 is a wasteful number, since it uses less digits than its factorization.

2132222976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 55 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 2132222976 is about 1287.0957994192.

Multiplying 2132222976 by its sum of digits (36), we get a square (76760027136 = 277056²).

2132222976 divided by its sum of digits (36) gives a square (59228416 = 7696²).

The spelling of 2132222976 in words is "two billion, one hundred thirty-two million, two hundred twenty-two thousand, nine hundred seventy-six".