2582272800 has 432 divisors, whose sum is σ = 9807262920. Its totient is φ = 639221760.

The previous prime is 2582272799. The next prime is 2582272811. The reversal of 2582272800 is 82722852.

2582272800 is a `hidden beast` number, since 2 + 582 + 2 + 72 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 279424656 + 2302848144 = 16716^2 + 47988^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35373564 + ... + 35373636.

Almost surely, 2^2582272800 is an apocalyptic number.

2582272800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903631460).

2582272800 is an abundant number, since it is smaller than the sum of its proper divisors (7224990120).

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

2582272800 is a wasteful number, since it uses less digits than its factorization.

2582272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2582272800 is about 50816.0683248911. The cubic root of 2582272800 is about 1371.9365937826.

The spelling of 2582272800 in words is "two billion, five hundred eighty-two million, two hundred seventy-two thousand, eight hundred".