2268870240 has 384 divisors, whose sum is σ = 8887173120. Its totient is φ = 473776128.

The previous prime is 2268870209. The next prime is 2268870251. The reversal of 2268870240 is 420788622.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 5547156 + ... + 5547564.

It is an arithmetic number, because the mean of its divisors is an integer number (23143680).

Almost surely, 2^2268870240 is an apocalyptic number.

2268870240 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 2268870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443586560).

2268870240 is an abundant number, since it is smaller than the sum of its proper divisors (6618302880).

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

2268870240 is a wasteful number, since it uses less digits than its factorization.

2268870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2268870240 is about 47632.6593840823. The cubic root of 2268870240 is about 1314.0237642494.

The spelling of 2268870240 in words is "two billion, two hundred sixty-eight million, eight hundred seventy thousand, two hundred forty".