2664342664256 has 112 divisors (see below), whose sum is σ = 6509111777280. Its totient is φ = 1053707028480.

The previous prime is 2664342664231. The next prime is 2664342664273. The reversal of 2664342664256 is 6524662434662.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19681730 + ... + 19816638.

It is an arithmetic number, because the mean of its divisors is an integer number (58117069440).

Almost surely, 2^{2664342664256} is an apocalyptic number.

2664342664256 is a gapful number since it is divisible by the number (26) 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 2664342664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254555888640).

2664342664256 is an abundant number, since it is smaller than the sum of its proper divisors (3844769113024).

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

2664342664256 is a wasteful number, since it uses less digits than its factorization.

2664342664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138332 (or 138322 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 56.

The spelling of 2664342664256 in words is "two trillion, six hundred sixty-four billion, three hundred forty-two million, six hundred sixty-four thousand, two hundred fifty-six".