2529024320 has 112 divisors (see below), whose sum is σ = 6287249808. Its totient is φ = 968048640.

The previous prime is 2529024307. The next prime is 2529024341. The reversal of 2529024320 is 234209252.

2529024320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 688957504 + 1840066816 = 26248^2 + 42896^2 .

It is a super-2 number, since 2×2529024320² = 12791928022302924800, which contains 22 as substring.

It is a congruent number.

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, 693542 + ... + 697178.

It is an arithmetic number, because the mean of its divisors is an integer number (56136159).

Almost surely, 2^2529024320 is an apocalyptic number.

2529024320 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 2529024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143624904).

2529024320 is an abundant number, since it is smaller than the sum of its proper divisors (3758225488).

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

2529024320 is a wasteful number, since it uses less digits than its factorization.

2529024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2529024320 is about 50289.4056437338. The cubic root of 2529024320 is about 1362.4408875962.

The spelling of 2529024320 in words is "two billion, five hundred twenty-nine million, twenty-four thousand, three hundred twenty".