2666400060400 has 60 divisors (see below), whose sum is σ = 6511043026744. Its totient is φ = 1049075424000.

The previous prime is 2666400060397. The next prime is 2666400060403. The reversal of 2666400060400 is 40600046662.

It is an interprime number because it is at equal distance from previous prime (2666400060397) and next prime (2666400060403).

It is a super-2 number, since 2×2666400060400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666400060403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54614946 + ... + 54663745.

Almost surely, 2^{2666400060400} is an apocalyptic number.

2666400060400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2666400060400 is an abundant number, since it is smaller than the sum of its proper divisors (3844642966344).

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

2666400060400 is a wasteful number, since it uses less digits than its factorization.

2666400060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109278770 (or 109278759 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 2666400060400 in words is "two trillion, six hundred sixty-six billion, four hundred million, sixty thousand, four hundred".