2268878040 has 640 divisors, whose sum is σ = 9220780800. Its totient is φ = 493102080.

The previous prime is 2268878009. The next prime is 2268878057. The reversal of 2268878040 is 408788622.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27335839 + ... + 27335921.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

Almost surely, 2^2268878040 is an apocalyptic number.

2268878040 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 2268878040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610390400).

2268878040 is an abundant number, since it is smaller than the sum of its proper divisors (6951902760).

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

2268878040 is a wasteful number, since it uses less digits than its factorization.

2268878040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

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

The square root of 2268878040 is about 47632.7412606077. The cubic root of 2268878040 is about 1314.0252700463.

The spelling of 2268878040 in words is "two billion, two hundred sixty-eight million, eight hundred seventy-eight thousand, forty".