2512504800 has 432 divisors, whose sum is σ = 10108884240. Its totient is φ = 581713920.

The previous prime is 2512504789. The next prime is 2512504807. The reversal of 2512504800 is 84052152.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512504807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1590411 + ... + 1591989.

It is an arithmetic number, because the mean of its divisors is an integer number (23400195).

Almost surely, 2^2512504800 is an apocalyptic number.

2512504800 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 2512504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054442120).

2512504800 is an abundant number, since it is smaller than the sum of its proper divisors (7596379440).

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

2512504800 is a wasteful number, since it uses less digits than its factorization.

2512504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2512504800 is about 50124.8920198338. The cubic root of 2512504800 is about 1359.4679291207.

Adding to 2512504800 its reverse (84052152), we get a palindrome (2596556952).

The spelling of 2512504800 in words is "two billion, five hundred twelve million, five hundred four thousand, eight hundred".