2197001664 has 448 divisors, whose sum is σ = 8049646080. Its totient is φ = 577290240.

The previous prime is 2197001663. The next prime is 2197001671. The reversal of 2197001664 is 4661007912.

It is a super-3 number, since 3×2197001664³ (a number of 29 digits) contains 333 as substring.

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 (2197001663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4200507 + ... + 4201029.

It is an arithmetic number, because the mean of its divisors is an integer number (17967960).

Almost surely, 2^2197001664 is an apocalyptic number.

2197001664 is a gapful number since it is divisible by the number (24) 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 2197001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024823040).

2197001664 is an abundant number, since it is smaller than the sum of its proper divisors (5852644416).

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

2197001664 is a wasteful number, since it uses less digits than its factorization.

2197001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2197001664 is about 46872.1843314348. The cubic root of 2197001664 is about 1300.0003282050. Note that the first 3 decimals are identical.

The spelling of 2197001664 in words is "two billion, one hundred ninety-seven million, one thousand, six hundred sixty-four".