2789829252 has 144 divisors (see below), whose sum is σ = 8681766912. Its totient is φ = 737795520.

The previous prime is 2789829239. The next prime is 2789829277. The reversal of 2789829252 is 2529289872.

It is a super-3 number, since 3×2789829252³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171913 + ... + 187439.

It is an arithmetic number, because the mean of its divisors is an integer number (60290048).

Almost surely, 2^2789829252 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 2789829252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340883456).

2789829252 is an abundant number, since it is smaller than the sum of its proper divisors (5891937660).

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

2789829252 is a wasteful number, since it uses less digits than its factorization.

2789829252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15598 (or 15593 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 2789829252 is about 52818.8342544589. The cubic root of 2789829252 is about 1407.7510973428.

The spelling of 2789829252 in words is "two billion, seven hundred eighty-nine million, eight hundred twenty-nine thousand, two hundred fifty-two".