2253498624 has 288 divisors, whose sum is σ = 7417267200. Its totient is φ = 670187520.

The previous prime is 2253498619. The next prime is 2253498647. The reversal of 2253498624 is 4268943522.

2253498624 is a `hidden beast` number, since 2 + 2 + 534 + 98 + 6 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2253498624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785132 + ... + 2785940.

It is an arithmetic number, because the mean of its divisors is an integer number (25754400).

Almost surely, 2^2253498624 is an apocalyptic number.

2253498624 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 2253498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708633600).

2253498624 is an abundant number, since it is smaller than the sum of its proper divisors (5163768576).

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

2253498624 is a wasteful number, since it uses less digits than its factorization.

2253498624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2253498624 is about 47471.0293126239. The cubic root of 2253498624 is about 1311.0495297281.

The spelling of 2253498624 in words is "two billion, two hundred fifty-three million, four hundred ninety-eight thousand, six hundred twenty-four".