2264976 has 120 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 641088.

The previous prime is 2264959. The next prime is 2265001. The reversal of 2264976 is 6794622.

It is a happy number.

2264976 is a `hidden beast` number, since 2 + 2 + 649 + 7 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁹ + 2¹⁹ + 6⁶ + 4⁸ + 9³ + 7⁷ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 2264976.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21115 + ... + 21221.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2^2264976 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 2264976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816720).

2264976 is an abundant number, since it is smaller than the sum of its proper divisors (5368464).

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

2264976 is a wasteful number, since it uses less digits than its factorization.

2264976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2264976 is about 1504.9837208422. The cubic root of 2264976 is about 131.3271546362.

It can be divided in two parts, 2264 and 976, that added together give a triangular number (3240 = T₈₀).

The spelling of 2264976 in words is "two million, two hundred sixty-four thousand, nine hundred seventy-six".