2872584000 has 1120 divisors, whose sum is σ = 12887626752. Its totient is φ = 622080000.

The previous prime is 2872583977. The next prime is 2872584007. The reversal of 2872584000 is 4852782.

It is a happy number.

2872584000 is a `hidden beast` number, since 2 + 8 + 72 + 584 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872584007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 92663985 + ... + 92664015.

Almost surely, 2^2872584000 is an apocalyptic number.

2872584000 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 2872584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443813376).

2872584000 is an abundant number, since it is smaller than the sum of its proper divisors (10015042752).

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

2872584000 is a wasteful number, since it uses less digits than its factorization.

2872584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

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

The square root of 2872584000 is about 53596.4924225457. The cubic root of 2872584000 is about 1421.5350720627.

The spelling of 2872584000 in words is "two billion, eight hundred seventy-two million, five hundred eighty-four thousand".