2668878042516 has 264 divisors, whose sum is σ = 8027009612160. Its totient is φ = 760592690496.

The previous prime is 2668878042497. The next prime is 2668878042587. The reversal of 2668878042516 is 6152408788662.

2668878042516 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 8 + 78 + 0 + 42 + 516 = 666.

It is a super-2 number, since 2×2668878042516² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 725828470 + ... + 725832146.

It is an arithmetic number, because the mean of its divisors is an integer number (30405339440).

Almost surely, 2^{2668878042516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668878042516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013504806080).

2668878042516 is an abundant number, since it is smaller than the sum of its proper divisors (5358131569644).

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

2668878042516 is an equidigital number, since it uses as much as digits as its factorization.

2668878042516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2668878042516 in words is "two trillion, six hundred sixty-eight billion, eight hundred seventy-eight million, forty-two thousand, five hundred sixteen".