2664013440 has 192 divisors, whose sum is σ = 9334493280. Its totient is φ = 645765120.

The previous prime is 2664013421. The next prime is 2664013477. The reversal of 2664013440 is 443104662.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2664013398 and 2664013407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226587 + ... + 238053.

Almost surely, 2^2664013440 is an apocalyptic number.

2664013440 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 2664013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667246640).

2664013440 is an abundant number, since it is smaller than the sum of its proper divisors (6670479840).

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

2664013440 is a wasteful number, since it uses less digits than its factorization.

2664013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11511 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2664013440 is about 51614.0817994469. The cubic root of 2664013440 is about 1386.2624849301.

The spelling of 2664013440 in words is "two billion, six hundred sixty-four million, thirteen thousand, four hundred forty".