2513242200 has 192 divisors, whose sum is σ = 9291548160. Its totient is φ = 549457920.

The previous prime is 2513242189. The next prime is 2513242201. The reversal of 2513242200 is 22423152.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513242201) 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, 83592 + ... + 109608.

It is an arithmetic number, because the mean of its divisors is an integer number (48393480).

Almost surely, 2^2513242200 is an apocalyptic number.

2513242200 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 2513242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645774080).

2513242200 is an abundant number, since it is smaller than the sum of its proper divisors (6778305960).

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

2513242200 is a wasteful number, since it uses less digits than its factorization.

2513242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26066 (or 26057 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2513242200 is about 50132.2471070268. The cubic root of 2513242200 is about 1359.6009137548.

Adding to 2513242200 its reverse (22423152), we get a palindrome (2535665352).

The spelling of 2513242200 in words is "two billion, five hundred thirteen million, two hundred forty-two thousand, two hundred".