2506107200 has 84 divisors (see below), whose sum is σ = 6185184480. Its totient is φ = 999421440.

The previous prime is 2506107169. The next prime is 2506107203. The reversal of 2506107200 is 27016052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506107203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572219 + ... + 576581.

Almost surely, 2^2506107200 is an apocalyptic number.

2506107200 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 2506107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092592240).

2506107200 is an abundant number, since it is smaller than the sum of its proper divisors (3679077280).

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

2506107200 is a wasteful number, since it uses less digits than its factorization.

2506107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2506107200 is about 50061.0347475959. The cubic root of 2506107200 is about 1358.3130756720.

The spelling of 2506107200 in words is "two billion, five hundred six million, one hundred seven thousand, two hundred".