2652082560 has 192 divisors, whose sum is σ = 9497713680. Its totient is φ = 707180544.

The previous prime is 2652082513. The next prime is 2652082571. The reversal of 2652082560 is 652802562.

2652082560 is a `hidden beast` number, since 2 + 6 + 520 + 82 + 56 + 0 = 666.

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 (36).

It is a congruent number.

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, 146994 + ... + 164046.

Almost surely, 2^2652082560 is an apocalyptic number.

2652082560 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 2652082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748856840).

2652082560 is an abundant number, since it is smaller than the sum of its proper divisors (6845631120).

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

2652082560 is an equidigital number, since it uses as much as digits as its factorization.

2652082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17087 (or 17063 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2652082560 is about 51498.3743432742. The cubic root of 2652082560 is about 1384.1899123488.

The spelling of 2652082560 in words is "two billion, six hundred fifty-two million, eighty-two thousand, five hundred sixty".