2512680240 has 320 divisors, whose sum is σ = 9533389824. Its totient is φ = 534380544.

The previous prime is 2512680229. The next prime is 2512680253. The reversal of 2512680240 is 420862152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2512680198 and 2512680207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2769867 + ... + 2770773.

Almost surely, 2^2512680240 is an apocalyptic number.

2512680240 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 2512680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766694912).

2512680240 is an abundant number, since it is smaller than the sum of its proper divisors (7020709584).

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

2512680240 is a wasteful number, since it uses less digits than its factorization.

2512680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2512680240 is about 50126.6420179928. The cubic root of 2512680240 is about 1359.4995707853.

The spelling of 2512680240 in words is "two billion, five hundred twelve million, six hundred eighty thousand, two hundred forty".