2197457920 has 264 divisors, whose sum is σ = 6468683760. Its totient is φ = 712212480.

The previous prime is 2197457903. The next prime is 2197457923. The reversal of 2197457920 is 297547912.

It is a happy number.

It is a super-3 number, since 3×2197457920³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197457923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4766490 + ... + 4766950.

It is an arithmetic number, because the mean of its divisors is an integer number (24502590).

Almost surely, 2^2197457920 is an apocalyptic number.

2197457920 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 2197457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234341880).

2197457920 is an abundant number, since it is smaller than the sum of its proper divisors (4271225840).

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

2197457920 is a wasteful number, since it uses less digits than its factorization.

2197457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 2197457920 is about 46877.0511017918. The cubic root of 2197457920 is about 1300.0903132523.

The spelling of 2197457920 in words is "two billion, one hundred ninety-seven million, four hundred fifty-seven thousand, nine hundred twenty".