2668256910400 has 189 divisors, whose sum is σ = 6649758909117. Its totient is φ = 1053790617600.

The previous prime is 2668256910353. The next prime is 2668256910401. The reversal of 2668256910400 is 40196528662.

The square root of 2668256910400 is 1633480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2627433516096 + 40823394304 = 1620936^2 + 202048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2668256910401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6337902190 + ... + 6337902610.

Almost surely, 2^{2668256910400} is an apocalyptic number.

2668256910400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2668256910400 is the 1633480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668256910400

2668256910400 is an abundant number, since it is smaller than the sum of its proper divisors (3981501998717).

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

2668256910400 is an frugal number, since it uses more digits than its factorization.

2668256910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 2668256910400 by its sum of digits (49), we get a square (130744588609600 = 11434360²).

The spelling of 2668256910400 in words is "two trillion, six hundred sixty-eight billion, two hundred fifty-six million, nine hundred ten thousand, four hundred".