2521082880 has 220 divisors, whose sum is σ = 9035621760. Its totient is φ = 672178176.

The previous prime is 2521082873. The next prime is 2521082903. The reversal of 2521082880 is 882801252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 411681 + ... + 417759.

It is an arithmetic number, because the mean of its divisors is an integer number (41071008).

Almost surely, 2^2521082880 is an apocalyptic number.

2521082880 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 2521082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517810880).

2521082880 is an abundant number, since it is smaller than the sum of its proper divisors (6514538880).

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

2521082880 is an equidigital number, since it uses as much as digits as its factorization.

2521082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2521082880 is about 50210.3861765671. The cubic root of 2521082880 is about 1361.0133163161.

The spelling of 2521082880 in words is "two billion, five hundred twenty-one million, eighty-two thousand, eight hundred eighty".