2097824880 has 160 divisors (see below), whose sum is σ = 6619719168. Its totient is φ = 549504000.

The previous prime is 2097824867. The next prime is 2097824891. The reversal of 2097824880 is 884287902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3877410 + ... + 3877950.

Almost surely, 2^2097824880 is an apocalyptic number.

2097824880 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 2097824880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309859584).

2097824880 is an abundant number, since it is smaller than the sum of its proper divisors (4521894288).

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

2097824880 is a wasteful number, since it uses less digits than its factorization.

2097824880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 2097824880 is about 45802.0182961406. The cubic root of 2097824880 is about 1280.1368831477.

The spelling of 2097824880 in words is "two billion, ninety-seven million, eight hundred twenty-four thousand, eight hundred eighty".