2664123840 has 336 divisors, whose sum is σ = 10582460928. Its totient is φ = 602560512.

The previous prime is 2664123809. The next prime is 2664123851. The reversal of 2664123840 is 483214662.

2664123840 is a `hidden beast` number, since 2 + 6 + 641 + 2 + 3 + 8 + 4 + 0 = 666.

2664123840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2664123795 and 2664123804.

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, 2075839 + ... + 2077121.

Almost surely, 2^2664123840 is an apocalyptic number.

2664123840 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 2664123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291230464).

2664123840 is an abundant number, since it is smaller than the sum of its proper divisors (7918337088).

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

2664123840 is a wasteful number, since it uses less digits than its factorization.

2664123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2664123840 is about 51615.1512639457. The cubic root of 2664123840 is about 1386.2816341409.

The spelling of 2664123840 in words is "two billion, six hundred sixty-four million, one hundred twenty-three thousand, eight hundred forty".