2664990720 has 768 divisors, whose sum is σ = 11604902400. Its totient is φ = 573308928.

The previous prime is 2664990683. The next prime is 2664990767. The reversal of 2664990720 is 270994662.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2664990720² = 14204351075372236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156764152 + ... + 156764168.

It is an arithmetic number, because the mean of its divisors is an integer number (15110550).

Almost surely, 2^2664990720 is an apocalyptic number.

2664990720 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 2664990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802451200).

2664990720 is an abundant number, since it is smaller than the sum of its proper divisors (8939911680).

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

2664990720 is an frugal number, since it uses more digits than its factorization.

2664990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2664990720 is about 51623.5481151771. The cubic root of 2664990720 is about 1386.4319786911.

The spelling of 2664990720 in words is "two billion, six hundred sixty-four million, nine hundred ninety thousand, seven hundred twenty".