2513140 has 48 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 830592.

The previous prime is 2513131. The next prime is 2513143. The reversal of 2513140 is 413152.

2513140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3751 + ... + 4369.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

2^2513140 is an apocalyptic number.

2513140 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 2513140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2513140 is an abundant number, since it is smaller than the sum of its proper divisors (3736460).

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

2513140 is a wasteful number, since it uses less digits than its factorization.

2513140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2513140 is about 1585.2886172555. The cubic root of 2513140 is about 135.9582484294.

Adding to 2513140 its reverse (413152), we get a palindrome (2926292).

It can be divided in two parts, 251 and 3140, that multiplied together give a triangular number (788140 = T₁₂₅₅).

The spelling of 2513140 in words is "two million, five hundred thirteen thousand, one hundred forty".