2259482624 has 72 divisors (see below), whose sum is σ = 5176309320. Its totient is φ = 965910528.

The previous prime is 2259482609. The next prime is 2259482657. The reversal of 2259482624 is 4262849522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5691194 + ... + 5691590.

It is an arithmetic number, because the mean of its divisors is an integer number (71893185).

Almost surely, 2^2259482624 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 2259482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588154660).

2259482624 is an abundant number, since it is smaller than the sum of its proper divisors (2916826696).

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

2259482624 is an frugal number, since it uses more digits than its factorization.

2259482624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 406 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The square root of 2259482624 is about 47534.0154415762. The cubic root of 2259482624 is about 1312.2089692924.

It can be divided in two parts, 225 and 9482624, that added together give a palindrome (9482849).

The spelling of 2259482624 in words is "two billion, two hundred fifty-nine million, four hundred eighty-two thousand, six hundred twenty-four".