2801136 has 60 divisors (see below), whose sum is σ = 7910952. Its totient is φ = 849024.

The previous prime is 2801119. The next prime is 2801137. The reversal of 2801136 is 6311082.

2801136 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801137) 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 11 ways as a sum of consecutive naturals, for example, 41775 + ... + 41841.

2^2801136 is an apocalyptic number.

2801136 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 2801136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955476).

2801136 is an abundant number, since it is smaller than the sum of its proper divisors (5109816).

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

2801136 is a wasteful number, since it uses less digits than its factorization.

2801136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2801136 is about 1673.6594635708. The cubic root of 2801136 is about 140.9650333292.

The spelling of 2801136 in words is "two million, eight hundred one thousand, one hundred thirty-six".