2131505600 has 84 divisors (see below), whose sum is σ = 5994129744. Its totient is φ = 730798080.

The previous prime is 2131505521. The next prime is 2131505609. The reversal of 2131505600 is 65051312.

It is a super-2 number, since 2×2131505600² = 9086632245662720000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131505609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83957 + ... + 106356.

Almost surely, 2^2131505600 is an apocalyptic number.

2131505600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131505600 is an abundant number, since it is smaller than the sum of its proper divisors (3862624144).

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

2131505600 is a wasteful number, since it uses less digits than its factorization.

2131505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190342 (or 190327 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2131505600 is about 46168.2315017589. The cubic root of 2131505600 is about 1286.9514375309.

Adding to 2131505600 its reverse (65051312), we get a palindrome (2196556912).

The spelling of 2131505600 in words is "two billion, one hundred thirty-one million, five hundred five thousand, six hundred".