2814742656 has 384 divisors, whose sum is σ = 9376819200. Its totient is φ = 830269440.

The previous prime is 2814742613. The next prime is 2814742657. The reversal of 2814742656 is 6562474182.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814742657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22163265 + ... + 22163391.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^2814742656 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 2814742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2814742656 is an abundant number, since it is smaller than the sum of its proper divisors (6562076544).

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

2814742656 is a wasteful number, since it uses less digits than its factorization.

2814742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2814742656 is about 53054.1483392204. The cubic root of 2814742656 is about 1411.9291294376.

The spelling of 2814742656 in words is "two billion, eight hundred fourteen million, seven hundred forty-two thousand, six hundred fifty-six".