2664647993280 has 896 divisors, whose sum is σ = 10770221629440. Its totient is φ = 542977966080.

The previous prime is 2664647993261. The next prime is 2664647993291. The reversal of 2664647993280 is 823997464662.

It is a super-2 number, since 2×2664647993280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2564627001 + ... + 2564628039.

It is an arithmetic number, because the mean of its divisors is an integer number (12020336640).

Almost surely, 2^{2664647993280} is an apocalyptic number.

2664647993280 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 2664647993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385110814720).

2664647993280 is an abundant number, since it is smaller than the sum of its proper divisors (8105573636160).

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

2664647993280 is a wasteful number, since it uses less digits than its factorization.

2664647993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 66.

The spelling of 2664647993280 in words is "two trillion, six hundred sixty-four billion, six hundred forty-seven million, nine hundred ninety-three thousand, two hundred eighty".