2666264260800 has 336 divisors, whose sum is σ = 10229720390912. Its totient is φ = 595258675200.

The previous prime is 2666264260799. The next prime is 2666264260811. The reversal of 2666264260800 is 80624626662.

2666264260800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2666264260800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522090 + ... + 2367510.

Almost surely, 2^{2666264260800} is an apocalyptic number.

2666264260800 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 2666264260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114860195456).

2666264260800 is an abundant number, since it is smaller than the sum of its proper divisors (7563456130112).

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

2666264260800 is a wasteful number, since it uses less digits than its factorization.

2666264260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845496 (or 1845481 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 2666264260800 in words is "two trillion, six hundred sixty-six billion, two hundred sixty-four million, two hundred sixty thousand, eight hundred".