2582828480760 has 64 divisors (see below), whose sum is σ = 8452893214080. Its totient is φ = 626140237440.

The previous prime is 2582828480747. The next prime is 2582828480797. The reversal of 2582828480760 is 670848282852.

It is a super-2 number, since 2×2582828480760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2582828480694 and 2582828480703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978342802 + ... + 978345441.

It is an arithmetic number, because the mean of its divisors is an integer number (132076456470).

Almost surely, 2^{2582828480760} is an apocalyptic number.

2582828480760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582828480760 is an abundant number, since it is smaller than the sum of its proper divisors (5870064733320).

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

2582828480760 is a wasteful number, since it uses less digits than its factorization.

2582828480760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956688268 (or 1956688264 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 60.

The spelling of 2582828480760 in words is "two trillion, five hundred eighty-two billion, eight hundred twenty-eight million, four hundred eighty thousand, seven hundred sixty".