2787984 has 60 divisors (see below), whose sum is σ = 8221200. Its totient is φ = 879552.

The previous prime is 2787977. The next prime is 2788007. The reversal of 2787984 is 4897872.

2787984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 2227 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (137020).

2^2787984 is an apocalyptic number.

2787984 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 2787984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110600).

2787984 is an abundant number, since it is smaller than the sum of its proper divisors (5433216).

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

2787984 is a wasteful number, since it uses less digits than its factorization.

2787984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1043 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2787984 is about 1669.7257259802. The cubic root of 2787984 is about 140.7440656784.

The spelling of 2787984 in words is "two million, seven hundred eighty-seven thousand, nine hundred eighty-four".