2265984 has 96 divisors (see below), whose sum is σ = 7478640. Its totient is φ = 645120.

The previous prime is 2265979. The next prime is 2266003. The reversal of 2265984 is 4895622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 2⁷ + 6⁷ + 5⁹ + 9 + 8⁵ + 4² .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7924 + ... + 8204.

2^2265984 is an apocalyptic number.

2265984 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 2265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739320).

2265984 is an abundant number, since it is smaller than the sum of its proper divisors (5212656).

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

2265984 is a wasteful number, since it uses less digits than its factorization.

2265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2265984 is about 1505.3185709344. The cubic root of 2265984 is about 131.3466335974.

It can be divided in two parts, 2265 and 984, that added together give a square (3249 = 57²).

The spelling of 2265984 in words is "two million, two hundred sixty-five thousand, nine hundred eighty-four".