2582684045480 has 128 divisors (see below), whose sum is σ = 7246318510080. Its totient is φ = 804838360320.

The previous prime is 2582684045471. The next prime is 2582684045507. The reversal of 2582684045480 is 845404862852.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16576019 + ... + 16731101.

It is an arithmetic number, because the mean of its divisors is an integer number (56611863360).

Almost surely, 2^{2582684045480} is an apocalyptic number.

2582684045480 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 2582684045480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623159255040).

2582684045480 is an abundant number, since it is smaller than the sum of its proper divisors (4663634464600).

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

2582684045480 is a wasteful number, since it uses less digits than its factorization.

2582684045480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160519 (or 160515 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 56.

The spelling of 2582684045480 in words is "two trillion, five hundred eighty-two billion, six hundred eighty-four million, forty-five thousand, four hundred eighty".