2669506560 has 312 divisors, whose sum is σ = 10580150880. Its totient is φ = 609878016.

The previous prime is 2669506531. The next prime is 2669506561. The reversal of 2669506560 is 656059662.

2669506560 is a `hidden beast` number, since 26 + 69 + 5 + 0 + 6 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2669506561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1289206 + ... + 1291274.

It is an arithmetic number, because the mean of its divisors is an integer number (33910740).

Almost surely, 2^2669506560 is an apocalyptic number.

2669506560 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 2669506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290075440).

2669506560 is an abundant number, since it is smaller than the sum of its proper divisors (7910644320).

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

2669506560 is a wasteful number, since it uses less digits than its factorization.

2669506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2669506560 is about 51667.2677814494. The cubic root of 2669506560 is about 1387.2146420712.

The spelling of 2669506560 in words is "two billion, six hundred sixty-nine million, five hundred six thousand, five hundred sixty".