2512652220 has 288 divisors, whose sum is σ = 8644446720. Its totient is φ = 586414080.

The previous prime is 2512652179. The next prime is 2512652237. The reversal of 2512652220 is 222562152.

2512652220 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 652 + 2 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4139157 + ... + 4139763.

It is an arithmetic number, because the mean of its divisors is an integer number (30015440).

Almost surely, 2^2512652220 is an apocalyptic number.

2512652220 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 2512652220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322223360).

2512652220 is an abundant number, since it is smaller than the sum of its proper divisors (6131794500).

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

2512652220 is a wasteful number, since it uses less digits than its factorization.

2512652220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2512652220 is about 50126.3625251224. The cubic root of 2512652220 is about 1359.4945173077.

The spelling of 2512652220 in words is "two billion, five hundred twelve million, six hundred fifty-two thousand, two hundred twenty".