2582672400 has 675 divisors, whose sum is σ = 11468386605. Its totient is φ = 536659200.

The previous prime is 2582672377. The next prime is 2582672429. The reversal of 2582672400 is 42762852.

The square root of 2582672400 is 50820.

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

2582672400 is a `hidden beast` number, since 2 + 582 + 6 + 72 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 929762064 + 1652910336 = 30492^2 + 40656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 134 ways as a sum of consecutive naturals, for example, 234788395 + ... + 234788405.

Almost surely, 2^2582672400 is an apocalyptic number.

2582672400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2582672400 is the 50820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582672400

2582672400 is an abundant number, since it is smaller than the sum of its proper divisors (8885714205).

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

2582672400 is a wasteful number, since it uses less digits than its factorization.

2582672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 2582672400 is about 1372.0073580058.

Multiplying 2582672400 by its sum of digits (36), we get a square (92976206400 = 304920²).

2582672400 divided by its sum of digits (36) gives a square (71740900 = 8470²).

The spelling of 2582672400 in words is "two billion, five hundred eighty-two million, six hundred seventy-two thousand, four hundred".