2268015750 has 768 divisors, whose sum is σ = 8831047680. Its totient is φ = 404352000.

The previous prime is 2268015733. The next prime is 2268015767. The reversal of 2268015750 is 575108622.

It is a happy number.

2268015750 is a `hidden beast` number, since 2 + 2 + 6 + 80 + 1 + 575 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2268015733) and next prime (2268015767).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42792724 + ... + 42792776.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2^2268015750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268015750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415523840).

2268015750 is an abundant number, since it is smaller than the sum of its proper divisors (6563031930).

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

2268015750 is a wasteful number, since it uses less digits than its factorization.

2268015750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2268015750 is about 47623.6889583325. The cubic root of 2268015750 is about 1313.8587832921.

It can be divided in two parts, 22680 and 15750, that multiplied together give a square (357210000 = 18900²).

The spelling of 2268015750 in words is "two billion, two hundred sixty-eight million, fifteen thousand, seven hundred fifty".