2780287668480 has 1152 divisors, whose sum is σ = 11424004300800. Its totient is φ = 560950935552.

The previous prime is 2780287668449. The next prime is 2780287668503. The reversal of 2780287668480 is 848667820872.

It is a super-3 number, since 3×2780287668480³ (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 894269166 + ... + 894272274.

It is an arithmetic number, because the mean of its divisors is an integer number (9916670400).

Almost surely, 2^{2780287668480} is an apocalyptic number.

2780287668480 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 2780287668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712002150400).

2780287668480 is an abundant number, since it is smaller than the sum of its proper divisors (8643716632320).

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

2780287668480 is a wasteful number, since it uses less digits than its factorization.

2780287668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 2780287668480 in words is "two trillion, seven hundred eighty billion, two hundred eighty-seven million, six hundred sixty-eight thousand, four hundred eighty".