2059344400 has 45 divisors (see below), whose sum is σ = 4949756391. Its totient is φ = 823374720.

The previous prime is 2059344373. The next prime is 2059344439. The reversal of 2059344400 is 44439502.

It is a happy number.

The square root of 2059344400 is 45380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 893531664 + 1165812736 = 29892^2 + 34144^2 .

It is a super-2 number, since 2×2059344400² = 8481798715622720000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 906466 + ... + 908734.

Almost surely, 2^2059344400 is an apocalyptic number.

2059344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2059344400 is the 45380-th square number.

It is an amenable number.

2059344400 is an abundant number, since it is smaller than the sum of its proper divisors (2890411991).

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

2059344400 is an frugal number, since it uses more digits than its factorization.

2059344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 2059344400 is about 1272.2613316677.

The spelling of 2059344400 in words is "two billion, fifty-nine million, three hundred forty-four thousand, four hundred".