2735424 has 56 divisors (see below), whose sum is σ = 8046720. Its totient is φ = 911232.

The previous prime is 2735387. The next prime is 2735437. The reversal of 2735424 is 4245372.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937 + ... + 2519.

2^2735424 is an apocalyptic number.

2735424 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 2735424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023360).

2735424 is an abundant number, since it is smaller than the sum of its proper divisors (5311296).

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

2735424 is a wasteful number, since it uses less digits than its factorization.

2735424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1588 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 2735424 is about 1653.9117267859. The cubic root of 2735424 is about 139.8539974503.

The spelling of 2735424 in words is "two million, seven hundred thirty-five thousand, four hundred twenty-four".