2507384880 has 960 divisors, whose sum is σ = 11699251200. Its totient is φ = 474163200.

The previous prime is 2507384861. The next prime is 2507384909. The reversal of 2507384880 is 884837052.

It is a super-2 number, since 2×2507384880² = 12573957872905228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35315245 + ... + 35315315.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^2507384880 is an apocalyptic number.

2507384880 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 2507384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849625600).

2507384880 is an abundant number, since it is smaller than the sum of its proper divisors (9191866320).

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

2507384880 is a wasteful number, since it uses less digits than its factorization.

2507384880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2507384880 is about 50073.7943439480. The cubic root of 2507384880 is about 1358.5438711465.

The spelling of 2507384880 in words is "two billion, five hundred seven million, three hundred eighty-four thousand, eight hundred eighty".