2887472 has 60 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 1185408.

The previous prime is 2887463. The next prime is 2887481. The reversal of 2887472 is 2747882.

It is an interprime number because it is at equal distance from previous prime (2887463) and next prime (2887481).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22673 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

2^2887472 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 2887472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2887472 is an abundant number, since it is smaller than the sum of its proper divisors (3897808).

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

2887472 is a wasteful number, since it uses less digits than its factorization.

2887472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 50176, while the sum is 38.

The square root of 2887472 is about 1699.2563079183. The cubic root of 2887472 is about 142.3986680850.

The spelling of 2887472 in words is "two million, eight hundred eighty-seven thousand, four hundred seventy-two".