2262306816 has 312 divisors, whose sum is σ = 8157449664. Its totient is φ = 586874880.

The previous prime is 2262306769. The next prime is 2262306833. The reversal of 2262306816 is 6186032622.

2262306816 is a `hidden beast` number, since 22 + 623 + 0 + 6 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838130 + ... + 2838926.

It is an arithmetic number, because the mean of its divisors is an integer number (26145672).

Almost surely, 2^2262306816 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 2262306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078724832).

2262306816 is an abundant number, since it is smaller than the sum of its proper divisors (5895142848).

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

2262306816 is a wasteful number, since it uses less digits than its factorization.

2262306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2262306816 is about 47563.7132276276. The cubic root of 2262306816 is about 1312.7554641781.

The spelling of 2262306816 in words is "two billion, two hundred sixty-two million, three hundred six thousand, eight hundred sixteen".