2973888 has 56 divisors (see below), whose sum is σ = 8747760. Its totient is φ = 990720.

The previous prime is 2973881. The next prime is 2973889. The reversal of 2973888 is 8883792.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2973881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (156210).

2^2973888 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 2973888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373880).

2973888 is an abundant number, since it is smaller than the sum of its proper divisors (5773872).

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

2973888 is a wasteful number, since it uses less digits than its factorization.

2973888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1726 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 2973888 is about 1724.4964482422. The cubic root of 2973888 is about 143.8052924030.

The spelling of 2973888 in words is "two million, nine hundred seventy-three thousand, eight hundred eighty-eight".