2131921600 has 126 divisors (see below), whose sum is σ = 5537988924. Its totient is φ = 807667200.

The previous prime is 2131921591. The next prime is 2131921609. The reversal of 2131921600 is 61291312.

It is an interprime number because it is at equal distance from previous prime (2131921591) and next prime (2131921609).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2131921609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 575755 + ... + 579445.

Almost surely, 2^2131921600 is an apocalyptic number.

2131921600 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 2131921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768994462).

2131921600 is an abundant number, since it is smaller than the sum of its proper divisors (3406067324).

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

2131921600 is a wasteful number, since it uses less digits than its factorization.

2131921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 2131921600 is about 46172.7365444155. The cubic root of 2131921600 is about 1287.0351556584.

The spelling of 2131921600 in words is "two billion, one hundred thirty-one million, nine hundred twenty-one thousand, six hundred".