2501561800 has 48 divisors (see below), whose sum is σ = 5831897940. Its totient is φ = 997912320.

The previous prime is 2501561791. The next prime is 2501561801. The reversal of 2501561800 is 81651052.

It can be written as a sum of positive squares in 6 ways, for example, as 1339706404 + 1161855396 = 36602^2 + 34086^2 .

It is a super-2 number, since 2×2501561800² = 12515622878438480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2501561801) 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, 57834 + ... + 91366.

Almost surely, 2^2501561800 is an apocalyptic number.

2501561800 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 2501561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915948970).

2501561800 is an abundant number, since it is smaller than the sum of its proper divisors (3330336140).

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

2501561800 is a wasteful number, since it uses less digits than its factorization.

2501561800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33922 (or 33913 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 2501561800 is about 50015.6155615424. The cubic root of 2501561800 is about 1357.4913746262.

The spelling of 2501561800 in words is "two billion, five hundred one million, five hundred sixty-one thousand, eight hundred".