2097290880 has 320 divisors, whose sum is σ = 7819891200. Its totient is φ = 534657024.

The previous prime is 2097290861. The next prime is 2097290893. The reversal of 2097290880 is 880927902.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1191441 + ... + 1193199.

It is an arithmetic number, because the mean of its divisors is an integer number (24437160).

Almost surely, 2^2097290880 is an apocalyptic number.

2097290880 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 2097290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909945600).

2097290880 is an abundant number, since it is smaller than the sum of its proper divisors (5722600320).

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

2097290880 is a wasteful number, since it uses less digits than its factorization.

2097290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2097290880 is about 45796.1884876897. The cubic root of 2097290880 is about 1280.0282545846.

The spelling of 2097290880 in words is "two billion, ninety-seven million, two hundred ninety thousand, eight hundred eighty".