2874336 has 48 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 943488.

The previous prime is 2874331. The next prime is 2874337. The reversal of 2874336 is 6334782.

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

It is a junction number, because it is equal to n+sod(n) for n = 2874297 and 2874306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7395 + ... + 7773.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

2^2874336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2874336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

2874336 is an abundant number, since it is smaller than the sum of its proper divisors (4786464).

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

2874336 is a wasteful number, since it uses less digits than its factorization.

2874336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 2874336 is about 1695.3866815567. The cubic root of 2874336 is about 142.1824013226.

The spelling of 2874336 in words is "two million, eight hundred seventy-four thousand, three hundred thirty-six".