2988672 has 64 divisors (see below), whose sum is σ = 8168160. Its totient is φ = 967680.

The previous prime is 2988659. The next prime is 2988673. The reversal of 2988672 is 2768892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 2¹⁰ + 9⁵ + 8² + 8² + 6⁵ + 7⁷ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2988673) 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, 16422 + ... + 16602.

2^2988672 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 2988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084080).

2988672 is an abundant number, since it is smaller than the sum of its proper divisors (5179488).

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

2988672 is a wasteful number, since it uses less digits than its factorization.

2988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2988672 is about 1728.7776028165. Note that the first 3 decimals coincide. The cubic root of 2988672 is about 144.0431969171.

The spelling of 2988672 in words is "two million, nine hundred eighty-eight thousand, six hundred seventy-two".