2529130800 has 480 divisors, whose sum is σ = 9963648000. Its totient is φ = 535265280.

The previous prime is 2529130789. The next prime is 2529130801. The reversal of 2529130800 is 80319252.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2529130801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12709101 + ... + 12709299.

It is an arithmetic number, because the mean of its divisors is an integer number (20757600).

Almost surely, 2^2529130800 is an apocalyptic number.

2529130800 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 2529130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824000).

2529130800 is an abundant number, since it is smaller than the sum of its proper divisors (7434517200).

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

2529130800 is a wasteful number, since it uses less digits than its factorization.

2529130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2529130800 is about 50290.4643048759. The cubic root of 2529130800 is about 1362.4600083652.

The spelling of 2529130800 in words is "two billion, five hundred twenty-nine million, one hundred thirty thousand, eight hundred".