2131090560 has 384 divisors, whose sum is σ = 7779058560. Its totient is φ = 557383680.

The previous prime is 2131090537. The next prime is 2131090601. The reversal of 2131090560 is 650901312.

2131090560 is a `hidden beast` number, since 2 + 1 + 3 + 10 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2131090560² = 9083093949842227200, which contains 22 as substring.

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

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, 11041824 + ... + 11042016.

It is an arithmetic number, because the mean of its divisors is an integer number (20257965).

Almost surely, 2^2131090560 is an apocalyptic number.

2131090560 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 2131090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889529280).

2131090560 is an abundant number, since it is smaller than the sum of its proper divisors (5647968000).

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

2131090560 is an equidigital number, since it uses as much as digits as its factorization.

2131090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2131090560 is about 46163.7364172356. The cubic root of 2131090560 is about 1286.8679017433.

Adding to 2131090560 its reverse (650901312), we get a palindrome (2781991872).

The spelling of 2131090560 in words is "two billion, one hundred thirty-one million, ninety thousand, five hundred sixty".