2664393709824 has 1008 divisors, whose sum is σ = 10071644190720. Its totient is φ = 682999050240.

The previous prime is 2664393709823. The next prime is 2664393709837. The reversal of 2664393709824 is 4289073934662.

2664393709824 is a `hidden beast` number, since 2 + 66 + 439 + 37 + 0 + 98 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2664393709824² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2664393709823) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1135232619 + ... + 1135234965.

Almost surely, 2^{2664393709824} is an apocalyptic number.

2664393709824 is a gapful number since it is divisible by the number (24) 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 2664393709824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035822095360).

2664393709824 is an abundant number, since it is smaller than the sum of its proper divisors (7407250480896).

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

2664393709824 is an equidigital number, since it uses as much as digits as its factorization.

2664393709824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 2664393709824 in words is "two trillion, six hundred sixty-four billion, three hundred ninety-three million, seven hundred nine thousand, eight hundred twenty-four".