2097758208000 has 1728 divisors, whose sum is σ = 8876354917248. Its totient is φ = 435997900800.

The previous prime is 2097758207957. The next prime is 2097758208001. The reversal of 2097758208000 is 8028577902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097758208001) 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 95 ways as a sum of consecutive naturals, for example, 31309823967 + ... + 31309824033.

It is an arithmetic number, because the mean of its divisors is an integer number (5136779466).

Almost surely, 2^{2097758208000} is an apocalyptic number.

2097758208000 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 2097758208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438177458624).

2097758208000 is an abundant number, since it is smaller than the sum of its proper divisors (6778596709248).

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

2097758208000 is an frugal number, since it uses more digits than its factorization.

2097758208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 2097758208000 in words is "two trillion, ninety-seven billion, seven hundred fifty-eight million, two hundred eight thousand".