2814690816 has 640 divisors, whose sum is σ = 10606464000. Its totient is φ = 718405632.

The previous prime is 2814690793. The next prime is 2814690839. The reversal of 2814690816 is 6180964182.

It is an interprime number because it is at equal distance from previous prime (2814690793) and next prime (2814690839).

It is a hoax number, since the sum of its digits (45) 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 63 ways as a sum of consecutive naturals, for example, 47706595 + ... + 47706653.

It is an arithmetic number, because the mean of its divisors is an integer number (16572600).

Almost surely, 2^2814690816 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 2814690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232000).

2814690816 is an abundant number, since it is smaller than the sum of its proper divisors (7791773184).

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

2814690816 is a wasteful number, since it uses less digits than its factorization.

2814690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2814690816 is about 53053.6597795100. The cubic root of 2814690816 is about 1411.9204614036.

The spelling of 2814690816 in words is "two billion, eight hundred fourteen million, six hundred ninety thousand, eight hundred sixteen".