2269237824 has 504 divisors, whose sum is σ = 8110517688. Its totient is φ = 603832320.

The previous prime is 2269237709. The next prime is 2269237829. The reversal of 2269237824 is 4287329622.

It can be written as a sum of positive squares in 4 ways, for example, as 433972224 + 1835265600 = 20832^2 + 42840^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2269237824.

It is not an unprimeable number, because it can be changed into a prime (2269237829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42815782 + ... + 42815834.

It is an arithmetic number, because the mean of its divisors is an integer number (16092297).

Almost surely, 2^2269237824 is an apocalyptic number.

2269237824 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 2269237824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055258844).

2269237824 is an abundant number, since it is smaller than the sum of its proper divisors (5841279864).

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

2269237824 is a wasteful number, since it uses less digits than its factorization.

2269237824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2269237824 is about 47636.5177568638. The cubic root of 2269237824 is about 1314.0947229172.

It can be divided in two parts, 22692 and 37824, that added together give a square (60516 = 246²).

The spelling of 2269237824 in words is "two billion, two hundred sixty-nine million, two hundred thirty-seven thousand, eight hundred twenty-four".