2500220800 has 384 divisors, whose sum is σ = 7861996800. Its totient is φ = 763084800.

The previous prime is 2500220783. The next prime is 2500220831. The reversal of 2500220800 is 80220052.

It is a super-2 number, since 2×2500220800² = 12502208097505280000, which contains 22 as substring.

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, 17987131 + ... + 17987269.

It is an arithmetic number, because the mean of its divisors is an integer number (20473950).

Almost surely, 2^2500220800 is an apocalyptic number.

2500220800 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 2500220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930998400).

2500220800 is an abundant number, since it is smaller than the sum of its proper divisors (5361776000).

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

2500220800 is a wasteful number, since it uses less digits than its factorization.

2500220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2500220800 is about 50002.2079512495. The cubic root of 2500220800 is about 1357.2487633485.

Adding to 2500220800 its reverse (80220052), we get a palindrome (2580440852).

The spelling of 2500220800 in words is "two billion, five hundred million, two hundred twenty thousand, eight hundred".