2364480 has 84 divisors (see below), whose sum is σ = 8142732. Its totient is φ = 629760.

The previous prime is 2364449. The next prime is 2364487. The reversal of 2364480 is 844632.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 1617984 = 864^2 + 1272^2 .

It is not an unprimeable number, because it can be changed into a prime (2364487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2470 + ... + 3290.

2^2364480 is an apocalyptic number.

2364480 is a gapful number since it is divisible by the number (20) 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 2364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071366).

2364480 is an abundant number, since it is smaller than the sum of its proper divisors (5778252).

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

2364480 is a wasteful number, since it uses less digits than its factorization.

2364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2364480 is about 1537.6865740456. The cubic root of 2364480 is about 133.2227972776. Note that the first 3 decimals are identical.

The spelling of 2364480 in words is "two million, three hundred sixty-four thousand, four hundred eighty".