2097872941248 has 224 divisors, whose sum is σ = 7049497305600. Its totient is φ = 599299734528.

The previous prime is 2097872941243. The next prime is 2097872941261. The reversal of 2097872941248 is 8421492787902.

2097872941248 is a `hidden beast` number, since 20 + 9 + 7 + 87 + 294 + 1 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2097872941243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132794086 + ... + 132809882.

Almost surely, 2^{2097872941248} is an apocalyptic number.

2097872941248 is a gapful number since it is divisible by the number (28) 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 2097872941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524748652800).

2097872941248 is an abundant number, since it is smaller than the sum of its proper divisors (4951624364352).

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

2097872941248 is a wasteful number, since it uses less digits than its factorization.

2097872941248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26804 (or 26788 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 2097872941248 in words is "two trillion, ninety-seven billion, eight hundred seventy-two million, nine hundred forty-one thousand, two hundred forty-eight".