2835744 has 48 divisors (see below), whose sum is σ = 7539840. Its totient is φ = 933120.

The previous prime is 2835737. The next prime is 2835751. The reversal of 2835744 is 4475382.

It is an interprime number because it is at equal distance from previous prime (2835737) and next prime (2835751).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 10329 + ... + 10599.

It is an arithmetic number, because the mean of its divisors is an integer number (157080).

2^2835744 is an apocalyptic number.

2835744 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 2835744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769920).

2835744 is an abundant number, since it is smaller than the sum of its proper divisors (4704096).

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

2835744 is a wasteful number, since it uses less digits than its factorization.

2835744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 2835744 is about 1683.9667455149. The cubic root of 2835744 is about 141.5431991531.

The spelling of 2835744 in words is "two million, eight hundred thirty-five thousand, seven hundred forty-four".