2681584514280 has 384 divisors, whose sum is σ = 10124758425600. Its totient is φ = 602870570496.

The previous prime is 2681584514249. The next prime is 2681584514321. The reversal of 2681584514280 is 824154851862.

It is a happy number.

2681584514280 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 584 + 51 + 4 + 2 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47451081 + ... + 47507559.

It is an arithmetic number, because the mean of its divisors is an integer number (26366558400).

Almost surely, 2^{2681584514280} is an apocalyptic number.

2681584514280 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 2681584514280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062379212800).

2681584514280 is an abundant number, since it is smaller than the sum of its proper divisors (7443173911320).

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

2681584514280 is a wasteful number, since it uses less digits than its factorization.

2681584514280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56813 (or 56806 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 2681584514280 in words is "two trillion, six hundred eighty-one billion, five hundred eighty-four million, five hundred fourteen thousand, two hundred eighty".