2873936 has 40 divisors (see below), whose sum is σ = 6161064. Its totient is φ = 1290240.

The previous prime is 2873933. The next prime is 2873939. The reversal of 2873936 is 6393782.

2873936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2873933) and next prime (2873939).

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 2755600 = 344^2 + 1660^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2873936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2873933) by changing a digit.

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, 8360 + ... + 8696.

2^2873936 is an apocalyptic number.

2873936 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 2873936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080532).

2873936 is an abundant number, since it is smaller than the sum of its proper divisors (3287128).

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

2873936 is a wasteful number, since it uses less digits than its factorization.

2873936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 2873936 is about 1695.2687102640. The cubic root of 2873936 is about 142.1758055269.

The spelling of 2873936 in words is "two million, eight hundred seventy-three thousand, nine hundred thirty-six".