2268437500 has 192 divisors, whose sum is σ = 6103109376. Its totient is φ = 720000000.

The previous prime is 2268437497. The next prime is 2268437503. The reversal of 2268437500 is 57348622.

It is an interprime number because it is at equal distance from previous prime (2268437497) and next prime (2268437503).

It is a self number, because there is not a number n which added to its sum of digits gives 2268437500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268437503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37187470 + ... + 37187530.

It is an arithmetic number, because the mean of its divisors is an integer number (31787028).

Almost surely, 2^2268437500 is an apocalyptic number.

2268437500 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 2268437500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051554688).

2268437500 is an abundant number, since it is smaller than the sum of its proper divisors (3834671876).

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

2268437500 is an frugal number, since it uses more digits than its factorization.

2268437500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2268437500 is about 47628.1166959182. The cubic root of 2268437500 is about 1313.9402179996.

It can be divided in two parts, 2268 and 437500, that multiplied together give a square (992250000 = 31500²).

The spelling of 2268437500 in words is "two billion, two hundred sixty-eight million, four hundred thirty-seven thousand, five hundred".