2831664 has 80 divisors (see below), whose sum is σ = 8285184. Its totient is φ = 825600.

The previous prime is 2831663. The next prime is 2831669. The reversal of 2831664 is 4661382.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16282 + ... + 16454.

2^2831664 is an apocalyptic number.

2831664 is a gapful number since it is divisible by the number (24) 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 2831664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142592).

2831664 is an abundant number, since it is smaller than the sum of its proper divisors (5453520).

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

2831664 is a wasteful number, since it uses less digits than its factorization.

2831664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2831664 is about 1682.7548841112. The cubic root of 2831664 is about 141.4752835918.

The spelling of 2831664 in words is "two million, eight hundred thirty-one thousand, six hundred sixty-four".