2052588667428 has 144 divisors (see below), whose sum is σ = 5731313988400. Its totient is φ = 615512079360.

The previous prime is 2052588667427. The next prime is 2052588667453. The reversal of 2052588667428 is 8247668852502.

It is a happy number.

2052588667428 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 588 + 6 + 6 + 7 + 42 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 431672652324 + 1620916015104 = 657018^2 + 1273152^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2052588667421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2781918 + ... + 3441546.

Almost surely, 2^{2052588667428} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052588667428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865656994200).

2052588667428 is an abundant number, since it is smaller than the sum of its proper divisors (3678725320972).

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

2052588667428 is a wasteful number, since it uses less digits than its factorization.

2052588667428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659822 (or 659817 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 2052588667428 in words is "two trillion, fifty-two billion, five hundred eighty-eight million, six hundred sixty-seven thousand, four hundred twenty-eight".