2742124 has 48 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 1028160.

The previous prime is 2742119. The next prime is 2742127. The reversal of 2742124 is 4212472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2742095 and 2742104.

It is not an unprimeable number, because it can be changed into a prime (2742127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8779 + ... + 9085.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

2^2742124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2742124 is an abundant number, since it is smaller than the sum of its proper divisors (3467156).

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

2742124 is a wasteful number, since it uses less digits than its factorization.

2742124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its digits is 896, while the sum is 22.

The square root of 2742124 is about 1655.9359891010. The cubic root of 2742124 is about 139.9680879645.

Adding to 2742124 its reverse (4212472), we get a palindrome (6954596).

The spelling of 2742124 in words is "two million, seven hundred forty-two thousand, one hundred twenty-four".