2076736400 has 60 divisors (see below), whose sum is σ = 5161434900. Its totient is φ = 802045440.

The previous prime is 2076736393. The next prime is 2076736421. The reversal of 2076736400 is 46376702.

It can be written as a sum of positive squares in 6 ways, for example, as 116726416 + 1960009984 = 10804^2 + 44272^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77915 + ... + 101114.

It is an arithmetic number, because the mean of its divisors is an integer number (86023915).

Almost surely, 2^2076736400 is an apocalyptic number.

2076736400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2076736400 is an abundant number, since it is smaller than the sum of its proper divisors (3084698500).

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

2076736400 is a wasteful number, since it uses less digits than its factorization.

2076736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179076 (or 179065 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 2076736400 is about 45571.2233761614. The cubic root of 2076736400 is about 1275.8328839751.

The spelling of 2076736400 in words is "two billion, seventy-six million, seven hundred thirty-six thousand, four hundred".