2268972 has 60 divisors (see below), whose sum is σ = 6098400. Its totient is φ = 735264.

The previous prime is 2268949. The next prime is 2268977. The reversal of 2268972 is 2798622.

2268972 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 (36).

It is not an unprimeable number, because it can be changed into a prime (2268977) 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 19 ways as a sum of consecutive naturals, for example, 15154 + ... + 15302.

It is an arithmetic number, because the mean of its divisors is an integer number (101640).

2^2268972 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 2268972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049200).

2268972 is an abundant number, since it is smaller than the sum of its proper divisors (3829428).

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

2268972 is a wasteful number, since it uses less digits than its factorization.

2268972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2268972 is about 1506.3107249170. The cubic root of 2268972 is about 131.4043408837.

It can be divided in two parts, 2268 and 972, that added together give a triangular number (3240 = T₈₀).

The spelling of 2268972 in words is "two million, two hundred sixty-eight thousand, nine hundred seventy-two".