2245511952 has 60 divisors (see below), whose sum is σ = 6302565360. Its totient is φ = 746330304.

The previous prime is 2245511909. The next prime is 2245511953. The reversal of 2245511952 is 2591155422.

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 (2245511953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27499 + ... + 72437.

It is an arithmetic number, because the mean of its divisors is an integer number (105042756).

Almost surely, 2^2245511952 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 2245511952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151282680).

2245511952 is an abundant number, since it is smaller than the sum of its proper divisors (4057053408).

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

2245511952 is a wasteful number, since it uses less digits than its factorization.

2245511952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45300 (or 45291 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 2245511952 is about 47386.8331079425. The cubic root of 2245511952 is about 1309.4988569292.

The spelling of 2245511952 in words is "two billion, two hundred forty-five million, five hundred eleven thousand, nine hundred fifty-two".