2513224000 has 112 divisors (see below), whose sum is σ = 7113300480. Its totient is φ = 861657600.

The previous prime is 2513223949. The next prime is 2513224039. The reversal of 2513224000 is 4223152.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33561 + ... + 78439.

Almost surely, 2^2513224000 is an apocalyptic number.

2513224000 is a gapful number since it is divisible by the number (20) 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 2513224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556650240).

2513224000 is an abundant number, since it is smaller than the sum of its proper divisors (4600076480).

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

2513224000 is an equidigital number, since it uses as much as digits as its factorization.

2513224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44913 (or 44893 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2513224000 is about 50132.0655868078. The cubic root of 2513224000 is about 1359.5976318326.

Adding to 2513224000 its reverse (4223152), we get a palindrome (2517447152).

The spelling of 2513224000 in words is "two billion, five hundred thirteen million, two hundred twenty-four thousand".