2268277440 has 672 divisors, whose sum is σ = 8995940352. Its totient is φ = 479232000.

The previous prime is 2268277393. The next prime is 2268277447. The reversal of 2268277440 is 447728622.

It is a junction number, because it is equal to n+sod(n) for n = 2268277392 and 2268277401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268277447) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 55323820 + ... + 55323860.

It is an arithmetic number, because the mean of its divisors is an integer number (13386816).

Almost surely, 2^2268277440 is an apocalyptic number.

2268277440 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 2268277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497970176).

2268277440 is an abundant number, since it is smaller than the sum of its proper divisors (6727662912).

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

2268277440 is a wasteful number, since it uses less digits than its factorization.

2268277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2268277440 is about 47626.4363562927. The cubic root of 2268277440 is about 1313.9093135823.

The spelling of 2268277440 in words is "two billion, two hundred sixty-eight million, two hundred seventy-seven thousand, four hundred forty".