2667984 has 80 divisors (see below), whose sum is σ = 7809024. Its totient is φ = 777600.

The previous prime is 2667983. The next prime is 2667989. The reversal of 2667984 is 4897662.

Its product of digits (145152) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667983) 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, 16287 + ... + 16449.

2^2667984 is an apocalyptic number.

2667984 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 2667984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904512).

2667984 is an abundant number, since it is smaller than the sum of its proper divisors (5141040).

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

2667984 is a wasteful number, since it uses less digits than its factorization.

2667984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2667984 is about 1633.3964613651. The cubic root of 2667984 is about 138.6950858090.

The spelling of 2667984 in words is "two million, six hundred sixty-seven thousand, nine hundred eighty-four".