2834240 has 56 divisors (see below), whose sum is σ = 7159752. Its totient is φ = 1064960.

The previous prime is 2834233. The next prime is 2834261. The reversal of 2834240 is 424382.

2834240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 2483776 = 592^2 + 1576^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5180 + ... + 5700.

2^2834240 is an apocalyptic number.

2834240 is a gapful number since it is divisible by the number (20) 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 2834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579876).

2834240 is an abundant number, since it is smaller than the sum of its proper divisors (4325512).

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

2834240 is a wasteful number, since it uses less digits than its factorization.

2834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2834240 is about 1683.5201216499. The cubic root of 2834240 is about 141.5181711983.

It can be divided in two parts, 28342 and 40, that added together give a palindrome (28382).

The spelling of 2834240 in words is "two million, eight hundred thirty-four thousand, two hundred forty".