2268740880 has 320 divisors, whose sum is σ = 8991091200. Its totient is φ = 515082240.

The previous prime is 2268740867. The next prime is 2268740893. The reversal of 2268740880 is 880478622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2268740867) and next prime (2268740893).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2736306 + ... + 2737134.

It is an arithmetic number, because the mean of its divisors is an integer number (28097160).

Almost surely, 2^2268740880 is an apocalyptic number.

2268740880 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 2268740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495545600).

2268740880 is an abundant number, since it is smaller than the sum of its proper divisors (6722350320).

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

2268740880 is a wasteful number, since it uses less digits than its factorization.

2268740880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2268740880 is about 47631.3014728760. The cubic root of 2268740880 is about 1313.9987906830.

The spelling of 2268740880 in words is "two billion, two hundred sixty-eight million, seven hundred forty thousand, eight hundred eighty".