2097965675520 has 1584 divisors, whose sum is σ = 9046164628800. Its totient is φ = 444420587520.

The previous prime is 2097965675513. The next prime is 2097965675527. The reversal of 2097965675520 is 255765697902.

2097965675520 is a `hidden beast` number, since 2 + 0 + 9 + 79 + 6 + 5 + 6 + 7 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2097965675513) and next prime (2097965675527).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097965675527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1627591036 + ... + 1627592324.

Almost surely, 2^{2097965675520} is an apocalyptic number.

2097965675520 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 2097965675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523082314400).

2097965675520 is an abundant number, since it is smaller than the sum of its proper divisors (6948198953280).

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

2097965675520 is a wasteful number, since it uses less digits than its factorization.

2097965675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 2097965675520 in words is "two trillion, ninety-seven billion, nine hundred sixty-five million, six hundred seventy-five thousand, five hundred twenty".