2842735 has 24 divisors (see below), whose sum is σ = 4079376. Its totient is φ = 1895040.

The previous prime is 2842733. The next prime is 2842739. The reversal of 2842735 is 5372482.

It is not a de Polignac number, because 2842735 - 2¹ = 2842733 is a prime.

It is a super-2 number, since 2×2842735² = 16162284560450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2³ + 8 + 4⁸ + 2⁹ + 7⁷ + 3 + 5⁹ .

Its product of digits (13440) is a multiple of the sum of its prime divisors (336).

2842735 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2842697 and 2842706.

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 23 ways as a sum of consecutive naturals, for example, 9904 + ... + 10186.

It is an arithmetic number, because the mean of its divisors is an integer number (169974).

2^2842735 is an apocalyptic number.

2842735 is a deficient number, since it is larger than the sum of its proper divisors (1236641).

2842735 is a wasteful number, since it uses less digits than its factorization.

2842735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 2842735 is about 1686.0412213229. The cubic root of 2842735 is about 141.6594198523.

The spelling of 2842735 in words is "two million, eight hundred forty-two thousand, seven hundred thirty-five".