2644016400 has 135 divisors (see below), whose sum is σ = 9186190351. Its totient is φ = 704248320.

The previous prime is 2644016387. The next prime is 2644016467. The reversal of 2644016400 is 46104462.

The square root of 2644016400 is 51420.

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

2644016400 is a `hidden beast` number, since 2 + 644 + 0 + 16 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 344622096 + 2299394304 = 18564^2 + 47952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3084772 + ... + 3085628.

Almost surely, 2^2644016400 is an apocalyptic number.

2644016400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2644016400 is the 51420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2644016400

2644016400 is an abundant number, since it is smaller than the sum of its proper divisors (6542173951).

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

2644016400 is an equidigital number, since it uses as much as digits as its factorization.

2644016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 2644016400 is about 1382.7851753099.

The spelling of 2644016400 in words is "two billion, six hundred forty-four million, sixteen thousand, four hundred".