2505201600 has 336 divisors, whose sum is σ = 9497177856. Its totient is φ = 571392000.

The previous prime is 2505201581. The next prime is 2505201631. The reversal of 2505201600 is 61025052.

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, 896205 + ... + 898995.

Almost surely, 2^2505201600 is an apocalyptic number.

2505201600 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 2505201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748588928).

2505201600 is an abundant number, since it is smaller than the sum of its proper divisors (6991976256).

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

2505201600 is a wasteful number, since it uses less digits than its factorization.

2505201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2505201600 is about 50051.9889714685. The cubic root of 2505201600 is about 1358.1494438691.

Adding to 2505201600 its reverse (61025052), we get a palindrome (2566226652).

The spelling of 2505201600 in words is "two billion, five hundred five million, two hundred one thousand, six hundred".