2510040960 has 320 divisors, whose sum is σ = 10245834720. Its totient is φ = 573640704.

The previous prime is 2510040959. The next prime is 2510040983. The reversal of 2510040960 is 690400152.

2510040960 is a `hidden beast` number, since 251 + 0 + 0 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359422 + ... + 366338.

Almost surely, 2^2510040960 is an apocalyptic number.

2510040960 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 2510040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122917360).

2510040960 is an abundant number, since it is smaller than the sum of its proper divisors (7735793760).

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

2510040960 is an equidigital number, since it uses as much as digits as its factorization.

2510040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2510040960 is about 50100.3089810831. The cubic root of 2510040960 is about 1359.0234050031.

The spelling of 2510040960 in words is "two billion, five hundred ten million, forty thousand, nine hundred sixty".