2197134720 has 320 divisors, whose sum is σ = 8561892240. Its totient is φ = 532500480.

The previous prime is 2197134707. The next prime is 2197134727. The reversal of 2197134720 is 274317912.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197134727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 568314 + ... + 572166.

Almost surely, 2^2197134720 is an apocalyptic number.

2197134720 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 2197134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280946120).

2197134720 is an abundant number, since it is smaller than the sum of its proper divisors (6364757520).

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

2197134720 is a wasteful number, since it uses less digits than its factorization.

2197134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2197134720 is about 46873.6036592025. The cubic root of 2197134720 is about 1300.0265714490.

The spelling of 2197134720 in words is "two billion, one hundred ninety-seven million, one hundred thirty-four thousand, seven hundred twenty".