2278790288640 has 720 divisors, whose sum is σ = 8398933095168. Its totient is φ = 589516849152.

The previous prime is 2278790288629. The next prime is 2278790288669. The reversal of 2278790288640 is 468820978722.

2278790288640 is a `hidden beast` number, since 227 + 8 + 7 + 90 + 288 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1776141439 + ... + 1776142721.

Almost surely, 2^{2278790288640} is an apocalyptic number.

2278790288640 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 2278790288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199466547584).

2278790288640 is an abundant number, since it is smaller than the sum of its proper divisors (6120142806528).

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

2278790288640 is a wasteful number, since it uses less digits than its factorization.

2278790288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 2278790288640 in words is "two trillion, two hundred seventy-eight billion, seven hundred ninety million, two hundred eighty-eight thousand, six hundred forty".