2272896 has 48 divisors (see below), whose sum is σ = 6543810. Its totient is φ = 757248.

The previous prime is 2272861. The next prime is 2272903. The reversal of 2272896 is 6982722.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 129600 = 1464^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 2¹² + 2¹⁶ + 7³ + 2²¹ + 8² + 9⁵ + 6⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 2272896.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166 + ... + 2138.

2^2272896 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 2272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271905).

2272896 is an abundant number, since it is smaller than the sum of its proper divisors (4270914).

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

2272896 is a wasteful number, since it uses less digits than its factorization.

2272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1978 counting only the distinct ones).

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

The square root of 2272896 is about 1507.6126823558. The cubic root of 2272896 is about 131.4800482484.

2272896 divided by its sum of digits (36) gives a palindrome (63136).

The spelling of 2272896 in words is "two million, two hundred seventy-two thousand, eight hundred ninety-six".