2665247760 has 320 divisors, whose sum is σ = 11110003200. Its totient is φ = 573308928.

The previous prime is 2665247759. The next prime is 2665247773. The reversal of 2665247760 is 677425662.

2665247760 is a `hidden beast` number, since 2 + 66 + 524 + 7 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251856 + ... + 262224.

It is an arithmetic number, because the mean of its divisors is an integer number (34718760).

Almost surely, 2^2665247760 is an apocalyptic number.

2665247760 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 2665247760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555001600).

2665247760 is an abundant number, since it is smaller than the sum of its proper divisors (8444755440).

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

2665247760 is a wasteful number, since it uses less digits than its factorization.

2665247760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2665247760 is about 51626.0376166911. The cubic root of 2665247760 is about 1386.4765513315.

The spelling of 2665247760 in words is "two billion, six hundred sixty-five million, two hundred forty-seven thousand, seven hundred sixty".