2097948160 has 320 divisors, whose sum is σ = 6505297920. Its totient is φ = 629637120.

The previous prime is 2097948143. The next prime is 2097948163. The reversal of 2097948160 is 618497902.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2097948160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097948163) 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 31 ways as a sum of consecutive naturals, for example, 5716297 + ... + 5716663.

It is an arithmetic number, because the mean of its divisors is an integer number (20329056).

Almost surely, 2^2097948160 is an apocalyptic number.

2097948160 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 2097948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252648960).

2097948160 is an abundant number, since it is smaller than the sum of its proper divisors (4407349760).

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

2097948160 is a wasteful number, since it uses less digits than its factorization.

2097948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 2097948160 is about 45803.3640685922. The cubic root of 2097948160 is about 1280.1619586731.

The spelling of 2097948160 in words is "two billion, ninety-seven million, nine hundred forty-eight thousand, one hundred sixty".