2052952560 has 160 divisors (see below), whose sum is σ = 7187664960. Its totient is φ = 538444800.

The previous prime is 2052952549. The next prime is 2052952591. The reversal of 2052952560 is 652592502.

2052952560 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 95 + 2 + 560 = 666.

It is a super-2 number, since 2×2052952560² = 8429228427221107200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123970 + ... + 139550.

It is an arithmetic number, because the mean of its divisors is an integer number (44922906).

Almost surely, 2^2052952560 is an apocalyptic number.

2052952560 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 2052952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593832480).

2052952560 is an abundant number, since it is smaller than the sum of its proper divisors (5134712400).

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

2052952560 is a wasteful number, since it uses less digits than its factorization.

2052952560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664 (or 15652 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2052952560 is about 45309.5195295646. The cubic root of 2052952560 is about 1270.9436762477.

The spelling of 2052952560 in words is "two billion, fifty-two million, nine hundred fifty-two thousand, five hundred sixty".