2262824640 has 448 divisors, whose sum is σ = 8514892800. Its totient is φ = 564461568.

The previous prime is 2262824639. The next prime is 2262824653. The reversal of 2262824640 is 464282622.

2262824640 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 8 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×2262824640² = 10240750702782259200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2262824595 and 2262824604.

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, 11724384 + ... + 11724576.

Almost surely, 2^2262824640 is an apocalyptic number.

2262824640 is a gapful number since it is divisible by the number (20) 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 2262824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257446400).

2262824640 is an abundant number, since it is smaller than the sum of its proper divisors (6252068160).

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

2262824640 is a wasteful number, since it uses less digits than its factorization.

2262824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2262824640 is about 47569.1563936129. The cubic root of 2262824640 is about 1312.8556162916.

The spelling of 2262824640 in words is "two billion, two hundred sixty-two million, eight hundred twenty-four thousand, six hundred forty".