2268246240 has 240 divisors, whose sum is σ = 8621430048. Its totient is φ = 558296064.

The previous prime is 2268246229. The next prime is 2268246263. The reversal of 2268246240 is 426428622.

2268246240 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 24 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2268246195 and 2268246204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161749 + ... + 175211.

Almost surely, 2^2268246240 is an apocalyptic number.

2268246240 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 2268246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310715024).

2268246240 is an abundant number, since it is smaller than the sum of its proper divisors (6353183808).

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

2268246240 is a wasteful number, since it uses less digits than its factorization.

2268246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13503 (or 13486 counting only the distinct ones).

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

The square root of 2268246240 is about 47626.1088059900. The cubic root of 2268246240 is about 1313.9032893106.

The spelling of 2268246240 in words is "two billion, two hundred sixty-eight million, two hundred forty-six thousand, two hundred forty".