2801936 has 20 divisors (see below), whose sum is σ = 5576652. Its totient is φ = 1362816.

The previous prime is 2801927. The next prime is 2801941. The reversal of 2801936 is 6391082.

It can be written as a sum of positive squares in 2 ways, for example, as 1547536 + 1254400 = 1244^2 + 1120^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2801899 and 2801908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1775 + ... + 2958.

2^2801936 is an apocalyptic number.

It is an amenable number.

2801936 is a deficient number, since it is larger than the sum of its proper divisors (2774716).

2801936 is a wasteful number, since it uses less digits than its factorization.

2801936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2801936 is about 1673.8984437534. The cubic root of 2801936 is about 140.9784518485.

The spelling of 2801936 in words is "two million, eight hundred one thousand, nine hundred thirty-six".