2580314880 has 576 divisors, whose sum is σ = 10021552128. Its totient is φ = 557383680.

The previous prime is 2580314879. The next prime is 2580314897. The reversal of 2580314880 is 884130852.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 20317377 + ... + 20317503.

It is an arithmetic number, because the mean of its divisors is an integer number (17398528).

Almost surely, 2^2580314880 is an apocalyptic number.

2580314880 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 2580314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010776064).

2580314880 is an abundant number, since it is smaller than the sum of its proper divisors (7441237248).

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

2580314880 is a wasteful number, since it uses less digits than its factorization.

2580314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2580314880 is about 50796.7998992062. The cubic root of 2580314880 is about 1371.5897647833.

The spelling of 2580314880 in words is "two billion, five hundred eighty million, three hundred fourteen thousand, eight hundred eighty".