2243614464 has 720 divisors, whose sum is σ = 8725590720. Its totient is φ = 557383680.

The previous prime is 2243614409. The next prime is 2243614481. The reversal of 2243614464 is 4644163422.

2243614464 = 297³ + 298³ + ... + 359³.

2243614464 is a `hidden beast` number, since 22 + 436 + 144 + 64 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54722284 + ... + 54722324.

It is an arithmetic number, because the mean of its divisors is an integer number (12118876).

Almost surely, 2^2243614464 is an apocalyptic number.

2243614464 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 2243614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362795360).

2243614464 is an abundant number, since it is smaller than the sum of its proper divisors (6481976256).

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

2243614464 is a wasteful number, since it uses less digits than its factorization.

2243614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2243614464 is about 47366.8076188379. The cubic root of 2243614464 is about 1309.1299048990.

Adding to 2243614464 its reverse (4644163422), we get a palindrome (6887777886).

The spelling of 2243614464 in words is "two billion, two hundred forty-three million, six hundred fourteen thousand, four hundred sixty-four".