2612742 has 32 divisors (see below), whose sum is σ = 5889024. Its totient is φ = 765600.

The previous prime is 2612719. The next prime is 2612749. The reversal of 2612742 is 2472162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612749) 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, 1408 + ... + 2684.

It is an arithmetic number, because the mean of its divisors is an integer number (184032).

2^2612742 is an apocalyptic number.

2612742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944512).

2612742 is an abundant number, since it is smaller than the sum of its proper divisors (3276282).

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

2612742 is a wasteful number, since it uses less digits than its factorization.

2612742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324.

The product of its digits is 1344, while the sum is 24.

The square root of 2612742 is about 1616.3978470661. The cubic root of 2612742 is about 137.7311505900.

It can be divided in two parts, 261 and 2742, that added together give a palindrome (3003).

The spelling of 2612742 in words is "two million, six hundred twelve thousand, seven hundred forty-two".