2662005964800 has 768 divisors, whose sum is σ = 10834426552320. Its totient is φ = 561606819840.

The previous prime is 2662005964789. The next prime is 2662005964819. The reversal of 2662005964800 is 84695002662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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 2662005964800.

It is a congruent number.

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, 223635649 + ... + 223647551.

It is an arithmetic number, because the mean of its divisors is an integer number (14107326240).

Almost surely, 2^{2662005964800} is an apocalyptic number.

2662005964800 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 2662005964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417213276160).

2662005964800 is an abundant number, since it is smaller than the sum of its proper divisors (8172420587520).

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

2662005964800 is a wasteful number, since it uses less digits than its factorization.

2662005964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11966 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 2662005964800 in words is "two trillion, six hundred sixty-two billion, five million, nine hundred sixty-four thousand, eight hundred".