2253865824 has 288 divisors, whose sum is σ = 7766793216. Its totient is φ = 629544960.

The previous prime is 2253865811. The next prime is 2253865829. The reversal of 2253865824 is 4285683522.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2253865824² = 10159822305190397952, which contains 22 as substring.

Its product of digits (921600) is a multiple of the sum of its prime factors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 2253865824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253865829) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2557864 + ... + 2558744.

It is an arithmetic number, because the mean of its divisors is an integer number (26968032).

Almost surely, 2^2253865824 is an apocalyptic number.

2253865824 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 2253865824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883396608).

2253865824 is an abundant number, since it is smaller than the sum of its proper divisors (5512927392).

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

2253865824 is an equidigital number, since it uses as much as digits as its factorization.

2253865824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2253865824 is about 47474.8967771390. The cubic root of 2253865824 is about 1311.1207362269.

The spelling of 2253865824 in words is "two billion, two hundred fifty-three million, eight hundred sixty-five thousand, eight hundred twenty-four".