2842736 has 40 divisors (see below), whose sum is σ = 6041280. Its totient is φ = 1287936.

The previous prime is 2842733. The next prime is 2842739. The reversal of 2842736 is 6372482.

It is an interprime number because it is at equal distance from previous prime (2842733) and next prime (2842739).

It is a super-2 number, since 2×2842736² = 16162295931392, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁷ + 8³ + 4⁸ + 2²¹ + 7⁵ + 3¹² + 6³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16346 + ... + 16518.

It is an arithmetic number, because the mean of its divisors is an integer number (151032).

2^2842736 is an apocalyptic number.

2842736 is a gapful number since it is divisible by the number (26) 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 2842736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020640).

2842736 is an abundant number, since it is smaller than the sum of its proper divisors (3198544).

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

2842736 is a wasteful number, since it uses less digits than its factorization.

2842736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 2842736 is about 1686.0415178755. The cubic root of 2842736 is about 141.6594364630.

The spelling of 2842736 in words is "two million, eight hundred forty-two thousand, seven hundred thirty-six".