2132762400 has 576 divisors, whose sum is σ = 8301968640. Its totient is φ = 533744640.

The previous prime is 2132762351. The next prime is 2132762419. The reversal of 2132762400 is 42672312.

2132762400 is a `hidden beast` number, since 2 + 1 + 32 + 7 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40240774 + ... + 40240826.

It is an arithmetic number, because the mean of its divisors is an integer number (14413140).

Almost surely, 2^2132762400 is an apocalyptic number.

2132762400 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 2132762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150984320).

2132762400 is an abundant number, since it is smaller than the sum of its proper divisors (6169206240).

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

2132762400 is an equidigital number, since it uses as much as digits as its factorization.

2132762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2132762400 is about 46181.8405869666. The cubic root of 2132762400 is about 1287.2043296295.

The spelling of 2132762400 in words is "two billion, one hundred thirty-two million, seven hundred sixty-two thousand, four hundred".