2529004800 has 432 divisors, whose sum is σ = 9862479872. Its totient is φ = 558489600.

The previous prime is 2529004789. The next prime is 2529004817. The reversal of 2529004800 is 84009252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4166097 + ... + 4166703.

Almost surely, 2^2529004800 is an apocalyptic number.

2529004800 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 2529004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931239936).

2529004800 is an abundant number, since it is smaller than the sum of its proper divisors (7333475072).

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

2529004800 is a wasteful number, since it uses less digits than its factorization.

2529004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2529004800 is about 50289.2115666969. The cubic root of 2529004800 is about 1362.4373823031.

The spelling of 2529004800 in words is "two billion, five hundred twenty-nine million, four thousand, eight hundred".