2268141720 has 256 divisors, whose sum is σ = 7850304000. Its totient is φ = 519561216.

The previous prime is 2268141713. The next prime is 2268141737. The reversal of 2268141720 is 271418622.

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, 1748112 + ... + 1749408.

It is an arithmetic number, because the mean of its divisors is an integer number (30665250).

Almost surely, 2^2268141720 is an apocalyptic number.

2268141720 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 2268141720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925152000).

2268141720 is an abundant number, since it is smaller than the sum of its proper divisors (5582162280).

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

2268141720 is a wasteful number, since it uses less digits than its factorization.

2268141720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2268141720 is about 47625.0114960616. The cubic root of 2268141720 is about 1313.8831075980.

The spelling of 2268141720 in words is "two billion, two hundred sixty-eight million, one hundred forty-one thousand, seven hundred twenty".