2029365252 has 120 divisors (see below), whose sum is σ = 5415379200. Its totient is φ = 662546304.

The previous prime is 2029365251. The next prime is 2029365257. The reversal of 2029365252 is 2525639202.

It is a happy number.

2029365252 is a `hidden beast` number, since 20 + 29 + 365 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2029365251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5652649 + ... + 5653007.

It is an arithmetic number, because the mean of its divisors is an integer number (45128160).

Almost surely, 2^2029365252 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 2029365252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707689600).

2029365252 is an abundant number, since it is smaller than the sum of its proper divisors (3386013948).

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

2029365252 is a wasteful number, since it uses less digits than its factorization.

2029365252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2029365252 is about 45048.4766890069. The cubic root of 2029365252 is about 1266.0574309653.

The spelling of 2029365252 in words is "two billion, twenty-nine million, three hundred sixty-five thousand, two hundred fifty-two".