2975984 has 40 divisors (see below), whose sum is σ = 6474288. Its totient is φ = 1313280.

The previous prime is 2975983. The next prime is 2976011. The reversal of 2975984 is 4895792.

It is a happy number.

2975984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 2²¹ + 9⁴ + 7² + 5⁷ + 9⁶ + 8³ + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2975983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6284 + ... + 6740.

2^2975984 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 2975984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237144).

2975984 is an abundant number, since it is smaller than the sum of its proper divisors (3498304).

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

2975984 is a wasteful number, since it uses less digits than its factorization.

2975984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 2975984 is about 1725.1040548326. The cubic root of 2975984 is about 143.8390691859.

The spelling of 2975984 in words is "two million, nine hundred seventy-five thousand, nine hundred eighty-four".