2664002880 has 672 divisors, whose sum is σ = 11742651648. Its totient is φ = 538214400.

The previous prime is 2664002819. The next prime is 2664002893. The reversal of 2664002880 is 882004662.

2664002880 is a `hidden beast` number, since 2 + 6 + 640 + 0 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2664002880² = 14193822689296588800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9092014 + ... + 9092306.

It is an arithmetic number, because the mean of its divisors is an integer number (17474184).

Almost surely, 2^2664002880 is an apocalyptic number.

2664002880 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 2664002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871325824).

2664002880 is an abundant number, since it is smaller than the sum of its proper divisors (9078648768).

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

2664002880 is a wasteful number, since it uses less digits than its factorization.

2664002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2664002880 is about 51613.9795016815. The cubic root of 2664002880 is about 1386.2606532388.

The spelling of 2664002880 in words is "two billion, six hundred sixty-four million, two thousand, eight hundred eighty".