2813743416 has 128 divisors (see below), whose sum is σ = 7783776000. Its totient is φ = 840545280.

The previous prime is 2813743397. The next prime is 2813743511. The reversal of 2813743416 is 6143473182.

2813743416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2813743416² = 15834304022166698112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9165135 + ... + 9165441.

It is an arithmetic number, because the mean of its divisors is an integer number (60810750).

Almost surely, 2^2813743416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813743416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888000).

2813743416 is an abundant number, since it is smaller than the sum of its proper divisors (4970032584).

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

2813743416 is a wasteful number, since it uses less digits than its factorization.

2813743416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 2813743416 is about 53044.7303320509. The cubic root of 2813743416 is about 1411.7620303193.

The spelling of 2813743416 in words is "two billion, eight hundred thirteen million, seven hundred forty-three thousand, four hundred sixteen".