2052385335 has 288 divisors, whose sum is σ = 5091061248. Its totient is φ = 750435840.

The previous prime is 2052385273. The next prime is 2052385337. The reversal of 2052385335 is 5335832502.

2052385335 is a `hidden beast` number, since 20 + 523 + 85 + 3 + 35 = 666.

It is not a de Polignac number, because 2052385335 - 2⁶ = 2052385271 is a prime.

It is a super-3 number, since 3×2052385335³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2052385335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052385337) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7252104 + ... + 7252386.

It is an arithmetic number, because the mean of its divisors is an integer number (17677296).

Almost surely, 2^2052385335 is an apocalyptic number.

2052385335 is an abundant number, since it is smaller than the sum of its proper divisors (3038675913).

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

2052385335 is a wasteful number, since it uses less digits than its factorization.

2052385335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2052385335 is about 45303.2596509346. The cubic root of 2052385335 is about 1270.8266127484.

The spelling of 2052385335 in words is "two billion, fifty-two million, three hundred eighty-five thousand, three hundred thirty-five".