2064102400 has 66 divisors (see below), whose sum is σ = 5116537910. Its totient is φ = 825630720.

The previous prime is 2064102389. The next prime is 2064102427. The reversal of 2064102400 is 42014602.

It can be written as a sum of positive squares in 3 ways, for example, as 153363456 + 1910738944 = 12384^2 + 43712^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14715 + ... + 65914.

Almost surely, 2^2064102400 is an apocalyptic number.

2064102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064102400 is an abundant number, since it is smaller than the sum of its proper divisors (3052435510).

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

2064102400 is an equidigital number, since it uses as much as digits as its factorization.

2064102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80659 (or 80636 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2064102400 is about 45432.3937295846. The cubic root of 2064102400 is about 1273.2404075591.

The spelling of 2064102400 in words is "two billion, sixty-four million, one hundred two thousand, four hundred".