2505282800 has 30 divisors (see below), whose sum is σ = 6018942888. Its totient is φ = 1002112960.

The previous prime is 2505282781. The next prime is 2505282803. The reversal of 2505282800 is 82825052.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505282803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3131204 + ... + 3132003.

Almost surely, 2^2505282800 is an apocalyptic number.

2505282800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505282800 is an abundant number, since it is smaller than the sum of its proper divisors (3513660088).

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

2505282800 is a wasteful number, since it uses less digits than its factorization.

2505282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263225 (or 6263214 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 2505282800 is about 50052.8001214717. The cubic root of 2505282800 is about 1358.1641174112.

The spelling of 2505282800 in words is "two billion, five hundred five million, two hundred eighty-two thousand, eight hundred".