2578500281280 has 2016 divisors, whose sum is σ = 11168945383680. Its totient is φ = 500716339200.

The previous prime is 2578500281257. The next prime is 2578500281321. The reversal of 2578500281280 is 821820058752.

It is a super-2 number, since 2×2578500281280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12220380375 + ... + 12220380585.

It is an arithmetic number, because the mean of its divisors is an integer number (5540151480).

Almost surely, 2^{2578500281280} is an apocalyptic number.

2578500281280 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 2578500281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584472691840).

2578500281280 is an abundant number, since it is smaller than the sum of its proper divisors (8590445102400).

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

2578500281280 is a wasteful number, since it uses less digits than its factorization.

2578500281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 2578500281280 in words is "two trillion, five hundred seventy-eight billion, five hundred million, two hundred eighty-one thousand, two hundred eighty".