2813481216 has 648 divisors, whose sum is σ = 10687045824. Its totient is φ = 731566080.

The previous prime is 2813481179. The next prime is 2813481263. The reversal of 2813481216 is 6121843182.

It is a tau number, because it is divible by the number of its divisors (648).

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.

Its product of digits (18432) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39626461 + ... + 39626531.

Almost surely, 2^2813481216 is an apocalyptic number.

2813481216 is a gapful number since it is divisible by the number (26) 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 2813481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343522912).

2813481216 is an abundant number, since it is smaller than the sum of its proper divisors (7873564608).

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

2813481216 is an equidigital number, since it uses as much as digits as its factorization.

2813481216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2813481216 is about 53042.2587754330. The cubic root of 2813481216 is about 1411.7181770548.

The spelling of 2813481216 in words is "two billion, eight hundred thirteen million, four hundred eighty-one thousand, two hundred sixteen".