2666644642400 has 36 divisors (see below), whose sum is σ = 6509946235212. Its totient is φ = 1066657856640.

The previous prime is 2666644642357. The next prime is 2666644642429. The reversal of 2666644642400 is 42464466662.

It is a super-2 number, since 2×2666644642400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1666652102 + ... + 1666653701.

It is an arithmetic number, because the mean of its divisors is an integer number (180831839867).

Almost surely, 2^{2666644642400} is an apocalyptic number.

2666644642400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2666644642400 is an abundant number, since it is smaller than the sum of its proper divisors (3843301592812).

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

2666644642400 is a wasteful number, since it uses less digits than its factorization.

2666644642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333305823 (or 3333305810 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 50.

The spelling of 2666644642400 in words is "two trillion, six hundred sixty-six billion, six hundred forty-four million, six hundred forty-two thousand, four hundred".