2288256778080 has 2304 divisors, whose sum is σ = 10374216652800. Its totient is φ = 473176940544.

The previous prime is 2288256778063. The next prime is 2288256778099. The reversal of 2288256778080 is 808776528822.

2288256778080 is a `hidden beast` number, since 228 + 8 + 256 + 7 + 7 + 80 + 80 = 666.

It is a super-2 number, since 2×2288256778080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2288256777999 and 2288256778017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11615516542 + ... + 11615516738.

It is an arithmetic number, because the mean of its divisors is an integer number (4502698200).

Almost surely, 2^{2288256778080} is an apocalyptic number.

2288256778080 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 2288256778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187108326400).

2288256778080 is an abundant number, since it is smaller than the sum of its proper divisors (8085959874720).

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

2288256778080 is a wasteful number, since it uses less digits than its factorization.

2288256778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 2288256778080 in words is "two trillion, two hundred eighty-eight billion, two hundred fifty-six million, seven hundred seventy-eight thousand, eighty".