2051916800 has 66 divisors (see below), whose sum is σ = 5086332378. Its totient is φ = 820756480.

The previous prime is 2051916781. The next prime is 2051916821. The reversal of 2051916800 is 86191502.

It can be written as a sum of positive squares in 3 ways, for example, as 683508736 + 1368408064 = 26144^2 + 36992^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 14477 + ... + 65676.

Almost surely, 2^2051916800 is an apocalyptic number.

2051916800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2051916800 is an abundant number, since it is smaller than the sum of its proper divisors (3034415578).

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

2051916800 is an equidigital number, since it uses as much as digits as its factorization.

2051916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80183 (or 80160 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 2051916800 is about 45298.0882598813. The cubic root of 2051916800 is about 1270.7299005550.

The spelling of 2051916800 in words is "two billion, fifty-one million, nine hundred sixteen thousand, eight hundred".