2513200140 has 144 divisors (see below), whose sum is σ = 8422202880. Its totient is φ = 601511040.

The previous prime is 2513200139. The next prime is 2513200159. The reversal of 2513200140 is 410023152.

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

It is an unprimeable number.

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, 148387 + ... + 164453.

It is an arithmetic number, because the mean of its divisors is an integer number (58487520).

Almost surely, 2^2513200140 is an apocalyptic number.

2513200140 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 2513200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211101440).

2513200140 is an abundant number, since it is smaller than the sum of its proper divisors (5909002740).

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

2513200140 is a wasteful number, since it uses less digits than its factorization.

2513200140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16172 (or 16167 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2513200140 is about 50131.8276147998. The cubic root of 2513200140 is about 1359.5933292446.

Adding to 2513200140 its reverse (410023152), we get a palindrome (2923223292).

The spelling of 2513200140 in words is "two billion, five hundred thirteen million, two hundred thousand, one hundred forty".