2582215200 has 432 divisors, whose sum is σ = 9725002560. Its totient is φ = 668113920.

The previous prime is 2582215183. The next prime is 2582215201. The reversal of 2582215200 is 25122852.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2582215200² = 13335670678222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2582215201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7192621 + ... + 7192979.

It is an arithmetic number, because the mean of its divisors is an integer number (22511580).

Almost surely, 2^2582215200 is an apocalyptic number.

2582215200 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 2582215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862501280).

2582215200 is an abundant number, since it is smaller than the sum of its proper divisors (7142787360).

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

2582215200 is a wasteful number, since it uses less digits than its factorization.

2582215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2582215200 is about 50815.5015718629. The cubic root of 2582215200 is about 1371.9263929322.

The spelling of 2582215200 in words is "two billion, five hundred eighty-two million, two hundred fifteen thousand, two hundred".