2662113340800 has 960 divisors, whose sum is σ = 10598840604000. Its totient is φ = 655474360320.

The previous prime is 2662113340763. The next prime is 2662113340801. The reversal of 2662113340800 is 80433112662.

2662113340800 is a `hidden beast` number, since 2 + 6 + 6 + 211 + 33 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×2662113340800³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662113340801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 233533501 + ... + 233544899.

Almost surely, 2^{2662113340800} is an apocalyptic number.

2662113340800 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 2662113340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299420302000).

2662113340800 is an abundant number, since it is smaller than the sum of its proper divisors (7936727263200).

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

2662113340800 is a wasteful number, since it uses less digits than its factorization.

2662113340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11505 (or 11479 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2662113340800 in words is "two trillion, six hundred sixty-two billion, one hundred thirteen million, three hundred forty thousand, eight hundred".