2668316138400 has 144 divisors (see below), whose sum is σ = 9474948127008. Its totient is φ = 646864512000.

The previous prime is 2668316138233. The next prime is 2668316138407. The reversal of 2668316138400 is 48316138662.

It is a super-2 number, since 2×2668316138400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2668316138400.

It is not an unprimeable number, because it can be changed into a prime (2668316138407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50509891 + ... + 50562690.

It is an arithmetic number, because the mean of its divisors is an integer number (65798250882).

Almost surely, 2^{2668316138400} is an apocalyptic number.

2668316138400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2668316138400 is an abundant number, since it is smaller than the sum of its proper divisors (6806631988608).

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

2668316138400 is a wasteful number, since it uses less digits than its factorization.

2668316138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101072615 (or 101072602 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 2668316138400 in words is "two trillion, six hundred sixty-eight billion, three hundred sixteen million, one hundred thirty-eight thousand, four hundred".