2097242112000 has 1088 divisors, whose sum is σ = 8134337562624. Its totient is φ = 469971763200.

The previous prime is 2097242111977. The next prime is 2097242112079. The reversal of 2097242112000 is 2112427902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12558335917 + ... + 12558336083.

Almost surely, 2^{2097242112000} is an apocalyptic number.

2097242112000 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 2097242112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067168781312).

2097242112000 is an abundant number, since it is smaller than the sum of its proper divisors (6037095450624).

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

2097242112000 is an frugal number, since it uses more digits than its factorization.

2097242112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 2097242112000 its reverse (2112427902), we get a palindrome (2099354539902).

The spelling of 2097242112000 in words is "two trillion, ninety-seven billion, two hundred forty-two million, one hundred twelve thousand".