2501200000 has 288 divisors, whose sum is σ = 6926392620. Its totient is φ = 898560000.

The previous prime is 2501199997. The next prime is 2501200003. The reversal of 2501200000 is 21052.

It is an interprime number because it is at equal distance from previous prime (2501199997) and next prime (2501200003).

It can be written as a sum of positive squares in 18 ways, for example, as 2326325824 + 174874176 = 48232^2 + 13224^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2501200000.

It is not an unprimeable number, because it can be changed into a prime (2501200003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67599982 + ... + 67600018.

Almost surely, 2^2501200000 is an apocalyptic number.

2501200000 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 2501200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463196310).

2501200000 is an abundant number, since it is smaller than the sum of its proper divisors (4425192620).

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

2501200000 is an frugal number, since it uses more digits than its factorization.

2501200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2501200000 is about 50011.9985603455. The cubic root of 2501200000 is about 1357.4259269715.

Adding to 2501200000 its reverse (21052), we get a palindrome (2501221052).

The spelling of 2501200000 in words is "two billion, five hundred one million, two hundred thousand".