2842749 has 48 divisors (see below), whose sum is σ = 5270400. Its totient is φ = 1482624.

The previous prime is 2842739. The next prime is 2842751. The reversal of 2842749 is 9472482.

2842749 = 52³ + 53³ + ... + 65³.

It is not a de Polignac number, because 2842749 - 2⁴ = 2842733 is a prime.

Its product of digits (32256) is a multiple of the sum of its prime divisors (112).

It is a Curzon number.

2842749 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31897 + ... + 31985.

It is an arithmetic number, because the mean of its divisors is an integer number (109800).

2^2842749 is an apocalyptic number.

It is an amenable number.

2842749 is a deficient number, since it is larger than the sum of its proper divisors (2427651).

2842749 is a wasteful number, since it uses less digits than its factorization.

2842749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2842749 is about 1686.0453730549. The cubic root of 2842749 is about 141.6596524017.

The spelling of 2842749 in words is "two million, eight hundred forty-two thousand, seven hundred forty-nine".