2881736 has 48 divisors (see below), whose sum is σ = 6423900. Its totient is φ = 1203840.

The previous prime is 2881733. The next prime is 2881783. The reversal of 2881736 is 6371882.

It can be written as a sum of positive squares in 2 ways, for example, as 2869636 + 12100 = 1694^2 + 110^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2881696 and 2881705.

It is not an unprimeable number, because it can be changed into a prime (2881733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12470 + ... + 12698.

2^2881736 is an apocalyptic number.

2881736 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 2881736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211950).

2881736 is an abundant number, since it is smaller than the sum of its proper divisors (3542164).

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

2881736 is a wasteful number, since it uses less digits than its factorization.

2881736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 2881736 is about 1697.5676716997. The cubic root of 2881736 is about 142.3043133209.

The spelling of 2881736 in words is "two million, eight hundred eighty-one thousand, seven hundred thirty-six".