2513210112 has 288 divisors, whose sum is σ = 8581529600. Its totient is φ = 710664192.

The previous prime is 2513210111. The next prime is 2513210129. The reversal of 2513210112 is 2110123152.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2513210111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6144564 + ... + 6144972.

Almost surely, 2^2513210112 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 2513210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290764800).

2513210112 is an abundant number, since it is smaller than the sum of its proper divisors (6068319488).

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

2513210112 is a wasteful number, since it uses less digits than its factorization.

2513210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2513210112 is about 50131.9270724755. The cubic root of 2513210112 is about 1359.5951274628.

Adding to 2513210112 its reverse (2110123152), we get a palindrome (4623333264).

The spelling of 2513210112 in words is "two billion, five hundred thirteen million, two hundred ten thousand, one hundred twelve".