2130793632 has 144 divisors (see below), whose sum is σ = 6629182560. Its totient is φ = 643852800.

The previous prime is 2130793631. The next prime is 2130793699. The reversal of 2130793632 is 2363970312.

2130793632 is a `hidden beast` number, since 2 + 13 + 0 + 7 + 9 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2130793631) 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 23 ways as a sum of consecutive naturals, for example, 1459719 + ... + 1461177.

It is an arithmetic number, because the mean of its divisors is an integer number (46035990).

Almost surely, 2^2130793632 is an apocalyptic number.

2130793632 is a gapful number since it is divisible by the number (22) 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 2130793632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314591280).

2130793632 is an abundant number, since it is smaller than the sum of its proper divisors (4498388928).

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

2130793632 is a wasteful number, since it uses less digits than its factorization.

2130793632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 2130793632 is about 46160.5202743643. The cubic root of 2130793632 is about 1286.8081318979.

The spelling of 2130793632 in words is "two billion, one hundred thirty million, seven hundred ninety-three thousand, six hundred thirty-two".