2897643598080 has 1152 divisors, whose sum is σ = 11926004944896. Its totient is φ = 582067814400.

The previous prime is 2897643598079. The next prime is 2897643598133. The reversal of 2897643598080 is 808953467982.

It is a junction number, because it is equal to n+sod(n) for n = 2897643597996 and 2897643598014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1892646915 + ... + 1892648445.

It is an arithmetic number, because the mean of its divisors is an integer number (10352434848).

Almost surely, 2^{2897643598080} is an apocalyptic number.

2897643598080 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 2897643598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963002472448).

2897643598080 is an abundant number, since it is smaller than the sum of its proper divisors (9028361346816).

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

2897643598080 is a wasteful number, since it uses less digits than its factorization.

2897643598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 2897643598080 in words is "two trillion, eight hundred ninety-seven billion, six hundred forty-three million, five hundred ninety-eight thousand, eighty".