2250237264 has 160 divisors (see below), whose sum is σ = 6518630400. Its totient is φ = 663137280.

The previous prime is 2250237263. The next prime is 2250237307. The reversal of 2250237264 is 4627320522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250237263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3044607 + ... + 3045345.

It is an arithmetic number, because the mean of its divisors is an integer number (40741440).

Almost surely, 2^2250237264 is an apocalyptic number.

2250237264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250237264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259315200).

2250237264 is an abundant number, since it is smaller than the sum of its proper divisors (4268393136).

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

2250237264 is a wasteful number, since it uses less digits than its factorization.

2250237264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2250237264 is about 47436.6658187525. The cubic root of 2250237264 is about 1310.4167553067.

Adding to 2250237264 its reverse (4627320522), we get a palindrome (6877557786).

The spelling of 2250237264 in words is "two billion, two hundred fifty million, two hundred thirty-seven thousand, two hundred sixty-four".