2813460480 has 360 divisors, whose sum is σ = 10277054172. Its totient is φ = 736100352.

The previous prime is 2813460457. The next prime is 2813460499. The reversal of 2813460480 is 840643182.

It can be written as a sum of positive squares in 2 ways, for example, as 2808152064 + 5308416 = 52992^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53084134 + ... + 53084186.

Almost surely, 2^2813460480 is an apocalyptic number.

2813460480 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 2813460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138527086).

2813460480 is an abundant number, since it is smaller than the sum of its proper divisors (7463593692).

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

2813460480 is an frugal number, since it uses more digits than its factorization.

2813460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2813460480 is about 53042.0633082839. The cubic root of 2813460480 is about 1411.7147088176.

The spelling of 2813460480 in words is "two billion, eight hundred thirteen million, four hundred sixty thousand, four hundred eighty".