2623488400 has 135 divisors (see below), whose sum is σ = 6859888041. Its totient is φ = 963755520.

The previous prime is 2623488389. The next prime is 2623488419. The reversal of 2623488400 is 48843262.

The square root of 2623488400 is 51220.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1024768144 + 1598720256 = 32012^2 + 39984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2623488400.

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, 13317102 + ... + 13317298.

Almost surely, 2^2623488400 is an apocalyptic number.

2623488400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2623488400 is the 51220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2623488400

2623488400 is an abundant number, since it is smaller than the sum of its proper divisors (4236399641).

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

2623488400 is a wasteful number, since it uses less digits than its factorization.

2623488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The cubic root of 2623488400 is about 1379.1972506957.

The spelling of 2623488400 in words is "two billion, six hundred twenty-three million, four hundred eighty-eight thousand, four hundred".