2816349480 has 384 divisors, whose sum is σ = 11499408000. Its totient is φ = 609638400.

The previous prime is 2816349467. The next prime is 2816349533. The reversal of 2816349480 is 849436182.

It is a happy number.

2816349480 is a `hidden beast` number, since 2 + 8 + 1 + 634 + 9 + 4 + 8 + 0 = 666.

2816349480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1004080 + ... + 1006880.

It is an arithmetic number, because the mean of its divisors is an integer number (29946375).

Almost surely, 2^2816349480 is an apocalyptic number.

2816349480 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 2816349480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749704000).

2816349480 is an abundant number, since it is smaller than the sum of its proper divisors (8683058520).

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

2816349480 is a wasteful number, since it uses less digits than its factorization.

2816349480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2816349480 is about 53069.2894242989. The cubic root of 2816349480 is about 1412.1977496181.

The spelling of 2816349480 in words is "two billion, eight hundred sixteen million, three hundred forty-nine thousand, four hundred eighty".