2668224364800 has 432 divisors, whose sum is σ = 9352225294272. Its totient is φ = 667621785600.

The previous prime is 2668224364753. The next prime is 2668224364811. The reversal of 2668224364800 is 84634228662.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108026052 + ... + 108050748.

Almost surely, 2^{2668224364800} is an apocalyptic number.

2668224364800 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 2668224364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676112647136).

2668224364800 is an abundant number, since it is smaller than the sum of its proper divisors (6684000929472).

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

2668224364800 is a wasteful number, since it uses less digits than its factorization.

2668224364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25074 (or 25055 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 2668224364800 in words is "two trillion, six hundred sixty-eight billion, two hundred twenty-four million, three hundred sixty-four thousand, eight hundred".