2197734400 has 99 divisors (see below), whose sum is σ = 5466376351. Its totient is φ = 876093440.

The previous prime is 2197734397. The next prime is 2197734403. The reversal of 2197734400 is 44377912.

The square root of 2197734400 is 46880.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2197734397) and next prime (2197734403).

It can be written as a sum of positive squares in 4 ways, for example, as 348046336 + 1849688064 = 18656^2 + 43008^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2197734400.

It is not an unprimeable number, because it can be changed into a prime (2197734403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7500654 + ... + 7500946.

Almost surely, 2^2197734400 is an apocalyptic number.

2197734400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2197734400 is the 46880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2197734400

2197734400 is an abundant number, since it is smaller than the sum of its proper divisors (3268641951).

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

2197734400 is an frugal number, since it uses more digits than its factorization.

2197734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The cubic root of 2197734400 is about 1300.1448359339.

The spelling of 2197734400 in words is "two billion, one hundred ninety-seven million, seven hundred thirty-four thousand, four hundred".