2267872100 has 36 divisors (see below), whose sum is σ = 5299845684. Its totient is φ = 837367680.

The previous prime is 2267872037. The next prime is 2267872219. The reversal of 2267872100 is 12787622.

It can be written as a sum of positive squares in 6 ways, for example, as 307862116 + 1960009984 = 17546^2 + 44272^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870959 + ... + 873558.

Almost surely, 2^2267872100 is an apocalyptic number.

2267872100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2267872100 is an abundant number, since it is smaller than the sum of its proper divisors (3031973584).

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

2267872100 is a wasteful number, since it uses less digits than its factorization.

2267872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744544 (or 1744537 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 2267872100 is about 47622.1807564500. The cubic root of 2267872100 is about 1313.8310439493.

The spelling of 2267872100 in words is "two billion, two hundred sixty-seven million, eight hundred seventy-two thousand, one hundred".