2164597344 has 864 divisors, whose sum is σ = 8783873280. Its totient is φ = 517321728.

The previous prime is 2164597333. The next prime is 2164597373. The reversal of 2164597344 is 4437954612.

2164597344 is a `hidden beast` number, since 2 + 16 + 4 + 597 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 2164597344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94112917 + ... + 94112939.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2^2164597344 is an apocalyptic number.

2164597344 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 2164597344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391936640).

2164597344 is an abundant number, since it is smaller than the sum of its proper divisors (6619275936).

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

2164597344 is a wasteful number, since it uses less digits than its factorization.

2164597344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2164597344 is about 46525.2334115585. The cubic root of 2164597344 is about 1293.5772638945.

The spelling of 2164597344 in words is "two billion, one hundred sixty-four million, five hundred ninety-seven thousand, three hundred forty-four".