2261984 has 12 divisors (see below), whose sum is σ = 4453344. Its totient is φ = 1130976.

The previous prime is 2261933. The next prime is 2261993. The reversal of 2261984 is 4891622.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 70687 = 2261984 / (2 + 2 + 6 + 1 + 9 + 8 + 4).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁷ + 2²¹ + 6 + 1 + 9³ + 8⁵ + 4⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 2261984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35312 + ... + 35375.

It is an arithmetic number, because the mean of its divisors is an integer number (371112).

2^2261984 is an apocalyptic number.

It is an amenable number.

2261984 is a deficient number, since it is larger than the sum of its proper divisors (2191360).

2261984 is an equidigital number, since it uses as much as digits as its factorization.

2261984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70697 (or 70689 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 2261984 is about 1503.9893616645. The cubic root of 2261984 is about 131.2693020743.

Adding to 2261984 its sum of digits (32), we get a square (2262016 = 1504²).

The spelling of 2261984 in words is "two million, two hundred sixty-one thousand, nine hundred eighty-four".