2660820456400 has 240 divisors, whose sum is σ = 6621176217600. Its totient is φ = 1026957934080.

The previous prime is 2660820456397. The next prime is 2660820456401. The reversal of 2660820456400 is 46540280662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660820456401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1869866089 + ... + 1869867511.

It is an arithmetic number, because the mean of its divisors is an integer number (27588234240).

Almost surely, 2^{2660820456400} is an apocalyptic number.

2660820456400 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 2660820456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310588108800).

2660820456400 is an abundant number, since it is smaller than the sum of its proper divisors (3960355761200).

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

2660820456400 is a wasteful number, since it uses less digits than its factorization.

2660820456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 2660820456400 in words is "two trillion, six hundred sixty billion, eight hundred twenty million, four hundred fifty-six thousand, four hundred".