2278377859968 has 768 divisors, whose sum is σ = 8150100940800. Its totient is φ = 619782782976.

The previous prime is 2278377859951. The next prime is 2278377859993. The reversal of 2278377859968 is 8699587738722.

2278377859968 is a `hidden beast` number, since 2 + 27 + 8 + 377 + 85 + 99 + 68 = 666.

It is a super-2 number, since 2×2278377859968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460927705 + ... + 460932647.

It is an arithmetic number, because the mean of its divisors is an integer number (10612110600).

Almost surely, 2^{2278377859968} is an apocalyptic number.

2278377859968 is a gapful number since it is divisible by the number (28) 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 2278377859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075050470400).

2278377859968 is an abundant number, since it is smaller than the sum of its proper divisors (5871723080832).

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

2278377859968 is an equidigital number, since it uses as much as digits as its factorization.

2278377859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5057 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 81.

The spelling of 2278377859968 in words is "two trillion, two hundred seventy-eight billion, three hundred seventy-seven million, eight hundred fifty-nine thousand, nine hundred sixty-eight".