2097435734352 has 160 divisors (see below), whose sum is σ = 6881349922560. Its totient is φ = 599191326720.

The previous prime is 2097435734297. The next prime is 2097435734413. The reversal of 2097435734352 is 2534375347902.

2097435734352 is a `hidden beast` number, since 2 + 0 + 97 + 435 + 73 + 4 + 3 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 26429452 + ... + 26508692.

It is an arithmetic number, because the mean of its divisors is an integer number (43008437016).

Almost surely, 2^{2097435734352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097435734352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440674961280).

2097435734352 is an abundant number, since it is smaller than the sum of its proper divisors (4783914188208).

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

2097435734352 is a wasteful number, since it uses less digits than its factorization.

2097435734352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88018 (or 88006 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 2097435734352 in words is "two trillion, ninety-seven billion, four hundred thirty-five million, seven hundred thirty-four thousand, three hundred fifty-two".