2664720384 has 192 divisors, whose sum is σ = 7524316800. Its totient is φ = 836960256.

The previous prime is 2664720349. The next prime is 2664720391. The reversal of 2664720384 is 4830274662.

It is a tau number, because it is divible by the number of its divisors (192).

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, 15402922 + ... + 15403094.

It is an arithmetic number, because the mean of its divisors is an integer number (39189150).

Almost surely, 2^2664720384 is an apocalyptic number.

2664720384 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 2664720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762158400).

2664720384 is an abundant number, since it is smaller than the sum of its proper divisors (4859596416).

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

2664720384 is a wasteful number, since it uses less digits than its factorization.

2664720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2664720384 is about 51620.9297087916. The cubic root of 2664720384 is about 1386.3850973335.

The spelling of 2664720384 in words is "two billion, six hundred sixty-four million, seven hundred twenty thousand, three hundred eighty-four".