2246180480 has 64 divisors (see below), whose sum is σ = 5380269480. Its totient is φ = 896716800.

The previous prime is 2246180477. The next prime is 2246180509. The reversal of 2246180480 is 840816422.

It can be written as a sum of positive squares in 4 ways, for example, as 1430049856 + 816130624 = 37816^2 + 28568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2246180480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353330 + ... + 359630.

Almost surely, 2^2246180480 is an apocalyptic number.

2246180480 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 2246180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690134740).

2246180480 is an abundant number, since it is smaller than the sum of its proper divisors (3134089000).

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

2246180480 is an equidigital number, since it uses as much as digits as its factorization.

2246180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2246180480 is about 47393.8865255847. The cubic root of 2246180480 is about 1309.6287975704.

The spelling of 2246180480 in words is "two billion, two hundred forty-six million, one hundred eighty thousand, four hundred eighty".