2540013 has 24 divisors (see below), whose sum is σ = 4054752. Its totient is φ = 1409184.

The previous prime is 2540011. The next prime is 2540033. The reversal of 2540013 is 3100452.

It is not a de Polignac number, because 2540013 - 2¹ = 2540011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2539974 and 2540001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5206 + ... + 5672.

It is an arithmetic number, because the mean of its divisors is an integer number (168948).

2^2540013 is an apocalyptic number.

It is an amenable number.

2540013 is a deficient number, since it is larger than the sum of its proper divisors (1514739).

2540013 is a wasteful number, since it uses less digits than its factorization.

2540013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2540013 is about 1593.7418235084. The cubic root of 2540013 is about 136.4411317490.

Adding to 2540013 its reverse (3100452), we get a palindrome (5640465).

The spelling of 2540013 in words is "two million, five hundred forty thousand, thirteen".