2529122880 has 112 divisors (see below), whose sum is σ = 8126967744. Its totient is φ = 666286080.

The previous prime is 2529122863. The next prime is 2529122909. The reversal of 2529122880 is 882219252.

2529122880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63810 + ... + 95550.

It is an arithmetic number, because the mean of its divisors is an integer number (72562212).

Almost surely, 2^2529122880 is an apocalyptic number.

2529122880 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 2529122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063483872).

2529122880 is an abundant number, since it is smaller than the sum of its proper divisors (5597844864).

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

2529122880 is a wasteful number, since it uses less digits than its factorization.

2529122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31844 (or 31834 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2529122880 is about 50290.3855622524. The cubic root of 2529122880 is about 1362.4585861777.

The spelling of 2529122880 in words is "two billion, five hundred twenty-nine million, one hundred twenty-two thousand, eight hundred eighty".