1997268224 has 108 divisors (see below), whose sum is σ = 4692359700. Its totient is φ = 845881344.

The previous prime is 1997268197. The next prime is 1997268253. The reversal of 1997268224 is 4228627991.

It can be written as a sum of positive squares in 2 ways, for example, as 1213268224 + 784000000 = 34832^2 + 28000^2 .

It is a super-2 number, since 2×1997268224² = 7978160717200228352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1115522 + ... + 1117310.

It is an arithmetic number, because the mean of its divisors is an integer number (43447775).

Almost surely, 2^1997268224 is an apocalyptic number.

1997268224 is a gapful number since it is divisible by the number (14) 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 1997268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346179850).

1997268224 is an abundant number, since it is smaller than the sum of its proper divisors (2695091476).

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

1997268224 is an equidigital number, since it uses as much as digits as its factorization.

1997268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1887 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The square root of 1997268224 is about 44690.8069293899. The cubic root of 1997268224 is about 1259.3471515075.

The spelling of 1997268224 in words is "one billion, nine hundred ninety-seven million, two hundred sixty-eight thousand, two hundred twenty-four".