2131629360 has 240 divisors, whose sum is σ = 7876183392. Its totient is φ = 475238400.

The previous prime is 2131629343. The next prime is 2131629373. The reversal of 2131629360 is 639261312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479950 + ... + 484370.

Almost surely, 2^2131629360 is an apocalyptic number.

2131629360 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 2131629360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938091696).

2131629360 is an abundant number, since it is smaller than the sum of its proper divisors (5744554032).

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

2131629360 is a wasteful number, since it uses less digits than its factorization.

2131629360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2131629360 is about 46169.5717978844. The cubic root of 2131629360 is about 1286.9763448120.

The spelling of 2131629360 in words is "two billion, one hundred thirty-one million, six hundred twenty-nine thousand, three hundred sixty".