2249952306 has 48 divisors (see below), whose sum is σ = 5243188320. Its totient is φ = 641786880.

The previous prime is 2249952247. The next prime is 2249952319. The reversal of 2249952306 is 6032599422.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 182485 + ... + 194423.

It is an arithmetic number, because the mean of its divisors is an integer number (109233090).

Almost surely, 2^2249952306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249952306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621594160).

2249952306 is an abundant number, since it is smaller than the sum of its proper divisors (2993236014).

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

2249952306 is a wasteful number, since it uses less digits than its factorization.

2249952306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2249952306 is about 47433.6621609591. The cubic root of 2249952306 is about 1310.3614382509.

The spelling of 2249952306 in words is "two billion, two hundred forty-nine million, nine hundred fifty-two thousand, three hundred six".