2097023834880 has 2304 divisors, whose sum is σ = 8974893312000. Its totient is φ = 458838245376.

The previous prime is 2097023834827. The next prime is 2097023834887. The reversal of 2097023834880 is 884383207902.

2097023834880 is a `hidden beast` number, since 209 + 70 + 23 + 8 + 348 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×2097023834880³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2097023834887) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10644790942 + ... + 10644791138.

It is an arithmetic number, because the mean of its divisors is an integer number (3895353000).

Almost surely, 2^{2097023834880} is an apocalyptic number.

2097023834880 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 2097023834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487446656000).

2097023834880 is an abundant number, since it is smaller than the sum of its proper divisors (6877869477120).

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

2097023834880 is a wasteful number, since it uses less digits than its factorization.

2097023834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2097023834880 in words is "two trillion, ninety-seven billion, twenty-three million, eight hundred thirty-four thousand, eight hundred eighty".