2252829096 has 288 divisors, whose sum is σ = 7362576000. Its totient is φ = 620186112.

The previous prime is 2252829071. The next prime is 2252829097. The reversal of 2252829096 is 6909282522.

It is not an unprimeable number, because it can be changed into a prime (2252829097) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16443940 + ... + 16444076.

It is an arithmetic number, because the mean of its divisors is an integer number (25564500).

Almost surely, 2^2252829096 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 2252829096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681288000).

2252829096 is an abundant number, since it is smaller than the sum of its proper divisors (5109746904).

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

2252829096 is a wasteful number, since it uses less digits than its factorization.

2252829096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2252829096 is about 47463.9768245350. The cubic root of 2252829096 is about 1310.9196766327.

The spelling of 2252829096 in words is "two billion, two hundred fifty-two million, eight hundred twenty-nine thousand, ninety-six".