2617984 has 32 divisors (see below), whose sum is σ = 5290740. Its totient is φ = 1290240.

The previous prime is 2617961. The next prime is 2617987. The reversal of 2617984 is 4897162.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 1000000 = 1272^2 + 1000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2617987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14374 + ... + 14554.

2^2617984 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 2617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645370).

2617984 is an abundant number, since it is smaller than the sum of its proper divisors (2672756).

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

2617984 is a wasteful number, since it uses less digits than its factorization.

2617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 2617984 is about 1618.0185413029. The cubic root of 2617984 is about 137.8232000389.

The spelling of 2617984 in words is "two million, six hundred seventeen thousand, nine hundred eighty-four".