2278660718880 has 2304 divisors, whose sum is σ = 10738461081600. Its totient is φ = 440193761280.

The previous prime is 2278660718801. The next prime is 2278660718881. The reversal of 2278660718880 is 888170668722.

2278660718880 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 6 + 607 + 18 + 8 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2278660718881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3010119462 + ... + 3010120218.

It is an arithmetic number, because the mean of its divisors is an integer number (4660790400).

Almost surely, 2^{2278660718880} is an apocalyptic number.

2278660718880 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 2278660718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369230540800).

2278660718880 is an abundant number, since it is smaller than the sum of its proper divisors (8459800362720).

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

2278660718880 is a wasteful number, since it uses less digits than its factorization.

2278660718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 2278660718880 in words is "two trillion, two hundred seventy-eight billion, six hundred sixty million, seven hundred eighteen thousand, eight hundred eighty".