2246823264 has 288 divisors, whose sum is σ = 7542823680. Its totient is φ = 581188608.

The previous prime is 2246823263. The next prime is 2246823277. The reversal of 2246823264 is 4623286422.

It is a happy number.

2246823264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2246823264² = 10096429559303227392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246823263) 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, 2055102 + ... + 2056194.

It is an arithmetic number, because the mean of its divisors is an integer number (26190360).

Almost surely, 2^2246823264 is an apocalyptic number.

2246823264 is a gapful number since it is divisible by the number (24) 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 2246823264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771411840).

2246823264 is an abundant number, since it is smaller than the sum of its proper divisors (5296000416).

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

2246823264 is a wasteful number, since it uses less digits than its factorization.

2246823264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 2246823264 is about 47400.6673370745. The cubic root of 2246823264 is about 1309.7537100841.

The spelling of 2246823264 in words is "two billion, two hundred forty-six million, eight hundred twenty-three thousand, two hundred sixty-four".