2512258560 has 480 divisors, whose sum is σ = 10236612672. Its totient is φ = 557383680.

The previous prime is 2512258543. The next prime is 2512258561. The reversal of 2512258560 is 658522152.

It is a happy number.

2512258560 is a `hidden beast` number, since 2 + 5 + 12 + 2 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2512258560² = 12622886144586547200, which contains 22 as substring.

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 (2512258561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5967150 + ... + 5967570.

Almost surely, 2^2512258560 is an apocalyptic number.

2512258560 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 2512258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118306336).

2512258560 is an abundant number, since it is smaller than the sum of its proper divisors (7724354112).

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

2512258560 is a wasteful number, since it uses less digits than its factorization.

2512258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2512258560 is about 50122.4356950059. The cubic root of 2512258560 is about 1359.4235157635.

The spelling of 2512258560 in words is "two billion, five hundred twelve million, two hundred fifty-eight thousand, five hundred sixty".