2829758652 has 90 divisors (see below), whose sum is σ = 8461916232. Its totient is φ = 807778656.

The previous prime is 2829758651. The next prime is 2829758653. The reversal of 2829758652 is 2568579282.

It is a happy number.

2829758652 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 7 + 586 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (2829758651) and next prime (2829758653).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829758651) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2532798 + ... + 2533914.

Almost surely, 2^2829758652 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 2829758652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230958116).

2829758652 is an abundant number, since it is smaller than the sum of its proper divisors (5632157580).

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

2829758652 is an equidigital number, since it uses as much as digits as its factorization.

2829758652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 1129 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 2829758652 is about 53195.4758602647. The cubic root of 2829758652 is about 1414.4354487669.

The spelling of 2829758652 in words is "two billion, eight hundred twenty-nine million, seven hundred fifty-eight thousand, six hundred fifty-two".