2665541760 has 256 divisors, whose sum is σ = 10133544960. Its totient is φ = 582709248.

The previous prime is 2665541743. The next prime is 2665541777. The reversal of 2665541760 is 671455662.

It is an interprime number because it is at equal distance from previous prime (2665541743) and next prime (2665541777).

It is a super-2 number, since 2×2665541760² = 14210225748607795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304809 + ... + 313431.

It is an arithmetic number, because the mean of its divisors is an integer number (39584160).

Almost surely, 2^2665541760 is an apocalyptic number.

2665541760 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 2665541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066772480).

2665541760 is an abundant number, since it is smaller than the sum of its proper divisors (7468003200).

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

2665541760 is a wasteful number, since it uses less digits than its factorization.

2665541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2665541760 is about 51628.8849385690. The cubic root of 2665541760 is about 1386.5275295964.

The spelling of 2665541760 in words is "two billion, six hundred sixty-five million, five hundred forty-one thousand, seven hundred sixty".