2613540 has 48 divisors (see below), whose sum is σ = 7495488. Its totient is φ = 680064.

The previous prime is 2613539. The next prime is 2613547. The reversal of 2613540 is 453162.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2613547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2074 + ... + 3086.

It is an arithmetic number, because the mean of its divisors is an integer number (156156).

2^2613540 is an apocalyptic number.

2613540 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 2613540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747744).

2613540 is an abundant number, since it is smaller than the sum of its proper divisors (4881948).

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

2613540 is a wasteful number, since it uses less digits than its factorization.

2613540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2613540 is about 1616.6446733899. The cubic root of 2613540 is about 137.7451713991.

The spelling of 2613540 in words is "two million, six hundred thirteen thousand, five hundred forty".