2135916800 has 54 divisors (see below), whose sum is σ = 5286743658. Its totient is φ = 854364160.

The previous prime is 2135916793. The next prime is 2135916841. The reversal of 2135916800 is 86195312.

It can be written as a sum of positive squares in 3 ways, for example, as 11075584 + 2124841216 = 3328^2 + 46096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160469 + ... + 173268.

Almost surely, 2^2135916800 is an apocalyptic number.

2135916800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135916800 is an abundant number, since it is smaller than the sum of its proper divisors (3150826858).

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

2135916800 is an equidigital number, since it uses as much as digits as its factorization.

2135916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333763 (or 333744 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 2135916800 is about 46215.9799203695. The cubic root of 2135916800 is about 1287.8386176928.

The spelling of 2135916800 in words is "two billion, one hundred thirty-five million, nine hundred sixteen thousand, eight hundred".