2501210880 has 576 divisors, whose sum is σ = 10399872000. Its totient is φ = 568995840.

The previous prime is 2501210869. The next prime is 2501210911. The reversal of 2501210880 is 880121052.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11853975 + ... + 11854185.

Almost surely, 2^2501210880 is an apocalyptic number.

2501210880 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 2501210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199936000).

2501210880 is an abundant number, since it is smaller than the sum of its proper divisors (7898661120).

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

2501210880 is an equidigital number, since it uses as much as digits as its factorization.

2501210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2501210880 is about 50012.1073341246. The cubic root of 2501210880 is about 1357.4278951964.

The spelling of 2501210880 in words is "two billion, five hundred one million, two hundred ten thousand, eight hundred eighty".