2540002113 has 36 divisors (see below), whose sum is σ = 4270000644. Its totient is φ = 1448832000.

The previous prime is 2540002109. The next prime is 2540002117. The reversal of 2540002113 is 3112000452.

2540002113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2540002109) and next prime (2540002117).

It can be written as a sum of positive squares in 2 ways, for example, as 995276304 + 1544725809 = 31548^2 + 39303^2 .

It is not a de Polignac number, because 2540002113 - 2² = 2540002109 is a prime.

It is a super-2 number, since 2×2540002113² = 12903221468088929538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2540002117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50088 + ... + 87113.

It is an arithmetic number, because the mean of its divisors is an integer number (118611129).

Almost surely, 2^2540002113 is an apocalyptic number.

It is an amenable number.

2540002113 is a deficient number, since it is larger than the sum of its proper divisors (1729998531).

2540002113 is a wasteful number, since it uses less digits than its factorization.

2540002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137246 (or 137232 counting only the distinct ones).

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

The square root of 2540002113 is about 50398.4336363741. The cubic root of 2540002113 is about 1364.4093681084.

Adding to 2540002113 its reverse (3112000452), we get a palindrome (5652002565).

The spelling of 2540002113 in words is "two billion, five hundred forty million, two thousand, one hundred thirteen".