2889792 has 84 divisors (see below), whose sum is σ = 8618220. Its totient is φ = 924672.

The previous prime is 2889787. The next prime is 2889797. The reversal of 2889792 is 2979882.

It is an interprime number because it is at equal distance from previous prime (2889787) and next prime (2889797).

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 746496 = 1464^2 + 864^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2889797) 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, 16618 + ... + 16790.

2^2889792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309110).

2889792 is an abundant number, since it is smaller than the sum of its proper divisors (5728428).

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

2889792 is a wasteful number, since it uses less digits than its factorization.

2889792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2889792 is about 1699.9388224286. The cubic root of 2889792 is about 142.4367956085.

The spelling of 2889792 in words is "two million, eight hundred eighty-nine thousand, seven hundred ninety-two".