2665314540 has 144 divisors (see below), whose sum is σ = 9436557312. Its totient is φ = 596239488.

The previous prime is 2665314527. The next prime is 2665314581. The reversal of 2665314540 is 454135662.

2665314540 = T₅₂₁₆ + T₅₂₁₇ + ... + T₅₄₀₄.

2665314540 is a `hidden beast` number, since 2 + 66 + 53 + 1 + 4 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2665314495 and 2665314504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36717 + ... + 81723.

It is an arithmetic number, because the mean of its divisors is an integer number (65531648).

Almost surely, 2^2665314540 is an apocalyptic number.

2665314540 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 2665314540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718278656).

2665314540 is an abundant number, since it is smaller than the sum of its proper divisors (6771242772).

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

2665314540 is a wasteful number, since it uses less digits than its factorization.

2665314540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45076 (or 45071 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2665314540 is about 51626.6843793014. The cubic root of 2665314540 is about 1386.4881310093.

The spelling of 2665314540 in words is "two billion, six hundred sixty-five million, three hundred fourteen thousand, five hundred forty".