2515720680 has 672 divisors, whose sum is σ = 10047905280. Its totient is φ = 564537600.

The previous prime is 2515720663. The next prime is 2515720699. The reversal of 2515720680 is 860275152.

It is a happy number.

2515720680 is a `hidden beast` number, since 2 + 5 + 1 + 572 + 0 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 81152265 + ... + 81152295.

It is an arithmetic number, because the mean of its divisors is an integer number (14952240).

Almost surely, 2^2515720680 is an apocalyptic number.

2515720680 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 2515720680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023952640).

2515720680 is an abundant number, since it is smaller than the sum of its proper divisors (7532184600).

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

2515720680 is a wasteful number, since it uses less digits than its factorization.

2515720680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2515720680 is about 50156.9604342209. The cubic root of 2515720680 is about 1360.0476987308.

The spelling of 2515720680 in words is "two billion, five hundred fifteen million, seven hundred twenty thousand, six hundred eighty".