2501195200 has 252 divisors, whose sum is σ = 7290599592. Its totient is φ = 841881600.

The previous prime is 2501195173. The next prime is 2501195231. The reversal of 2501195200 is 25911052.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4782139 + ... + 4782661.

Almost surely, 2^2501195200 is an apocalyptic number.

2501195200 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 2501195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645299796).

2501195200 is an abundant number, since it is smaller than the sum of its proper divisors (4789404392).

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

2501195200 is a wasteful number, since it uses less digits than its factorization.

2501195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 2501195200 is about 50011.9505718383. The cubic root of 2501195200 is about 1357.4250586352.

The spelling of 2501195200 in words is "two billion, five hundred one million, one hundred ninety-five thousand, two hundred".