2052528660 has 756 divisors, whose sum is σ = 8619218748. Its totient is φ = 407586816.

The previous prime is 2052528641. The next prime is 2052528703. The reversal of 2052528660 is 668252502.

2052528660 is a `hidden beast` number, since 20 + 52 + 528 + 6 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 195608196 + 1856920464 = 13986^2 + 43092^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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 251 ways as a sum of consecutive naturals, for example, 120736972 + ... + 120736988.

It is an arithmetic number, because the mean of its divisors is an integer number (11401083).

Almost surely, 2^2052528660 is an apocalyptic number.

2052528660 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 2052528660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309609374).

2052528660 is an abundant number, since it is smaller than the sum of its proper divisors (6566690088).

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

2052528660 is a wasteful number, since it uses less digits than its factorization.

2052528660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

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

The square root of 2052528660 is about 45304.8414631372. The cubic root of 2052528660 is about 1270.8561940980.

The spelling of 2052528660 in words is "two billion, fifty-two million, five hundred twenty-eight thousand, six hundred sixty".