2513098224 has 240 divisors, whose sum is σ = 8978092032. Its totient is φ = 662701824.

The previous prime is 2513098207. The next prime is 2513098229. The reversal of 2513098224 is 4228903152.

It is a happy number.

2513098224 is a `hidden beast` number, since 251 + 309 + 82 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513098229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350257 + ... + 357359.

Almost surely, 2^2513098224 is an apocalyptic number.

2513098224 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 2513098224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489046016).

2513098224 is an abundant number, since it is smaller than the sum of its proper divisors (6464993808).

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

2513098224 is a wasteful number, since it uses less digits than its factorization.

2513098224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7146 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2513098224 is about 50130.8111244971. The cubic root of 2513098224 is about 1359.5749507923.

The spelling of 2513098224 in words is "two billion, five hundred thirteen million, ninety-eight thousand, two hundred twenty-four".