2097128531520 has 336 divisors, whose sum is σ = 7914504416832. Its totient is φ = 505454776320.

The previous prime is 2097128531513. The next prime is 2097128531599. The reversal of 2097128531520 is 251358217902.

2097128531520 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 12 + 85 + 31 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5289319 + ... + 5671961.

Almost surely, 2^{2097128531520} is an apocalyptic number.

2097128531520 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 2097128531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957252208416).

2097128531520 is an abundant number, since it is smaller than the sum of its proper divisors (5817375885312).

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

2097128531520 is a wasteful number, since it uses less digits than its factorization.

2097128531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382850 (or 382837 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2097128531520 in words is "two trillion, ninety-seven billion, one hundred twenty-eight million, five hundred thirty-one thousand, five hundred twenty".