2741424 has 80 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 760320.

The previous prime is 2741411. The next prime is 2741449. The reversal of 2741424 is 4241472.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 2741394 and 2741403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13677 + ... + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^2741424 is an apocalyptic number.

2741424 is a gapful number since it is divisible by the number (24) 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 2741424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2741424 is an abundant number, since it is smaller than the sum of its proper divisors (5591376).

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

2741424 is a wasteful number, since it uses less digits than its factorization.

2741424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 2741424 is about 1655.7246147835. The cubic root of 2741424 is about 139.9561767599.

Adding to 2741424 its reverse (4241472), we get a palindrome (6982896).

The spelling of 2741424 in words is "two million, seven hundred forty-one thousand, four hundred twenty-four".