2132653644 has 96 divisors (see below), whose sum is σ = 6145735680. Its totient is φ = 634046400.

The previous prime is 2132653637. The next prime is 2132653657. The reversal of 2132653644 is 4463562312.

2132653644 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 6 + 5 + 3 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2132653599 and 2132653608.

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 31 ways as a sum of consecutive naturals, for example, 46029 + ... + 79899.

It is an arithmetic number, because the mean of its divisors is an integer number (64018080).

Almost surely, 2^2132653644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132653644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072867840).

2132653644 is an abundant number, since it is smaller than the sum of its proper divisors (4013082036).

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

2132653644 is a wasteful number, since it uses less digits than its factorization.

2132653644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33948 (or 33940 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2132653644 is about 46180.6630961488. The cubic root of 2132653644 is about 1287.1824497781.

The spelling of 2132653644 in words is "two billion, one hundred thirty-two million, six hundred fifty-three thousand, six hundred forty-four".