2505907200 has 264 divisors, whose sum is σ = 8423028352. Its totient is φ = 656916480.

The previous prime is 2505907189. The next prime is 2505907211. The reversal of 2505907200 is 27095052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2505907189) and next prime (2505907211).

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 23 ways as a sum of consecutive naturals, for example, 5145357 + ... + 5145843.

Almost surely, 2^2505907200 is an apocalyptic number.

2505907200 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 2505907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211514176).

2505907200 is an abundant number, since it is smaller than the sum of its proper divisors (5917121152).

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

2505907200 is a wasteful number, since it uses less digits than its factorization.

2505907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 2505907200 is about 50059.0371461537. The cubic root of 2505907200 is about 1358.2769412983.

The spelling of 2505907200 in words is "two billion, five hundred five million, nine hundred seven thousand, two hundred".