2666682462400 has 168 divisors, whose sum is σ = 7194569736816. Its totient is φ = 964779110400.

The previous prime is 2666682462349. The next prime is 2666682462419. The reversal of 2666682462400 is 42642866662.

It is a super-2 number, since 2×2666682462400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3082642 + ... + 3851758.

It is an arithmetic number, because the mean of its divisors is an integer number (42824819862).

Almost surely, 2^{2666682462400} is an apocalyptic number.

2666682462400 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 2666682462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597284868408).

2666682462400 is an abundant number, since it is smaller than the sum of its proper divisors (4527887274416).

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

2666682462400 is a wasteful number, since it uses less digits than its factorization.

2666682462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769347 (or 769332 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 52.

The spelling of 2666682462400 in words is "two trillion, six hundred sixty-six billion, six hundred eighty-two million, four hundred sixty-two thousand, four hundred".