2897131641984 has 768 divisors, whose sum is σ = 9538893936000. Its totient is φ = 838464307200.

The previous prime is 2897131641959. The next prime is 2897131641991. The reversal of 2897131641984 is 4891461317982.

2897131641984 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 131 + 6 + 419 + 84 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2474065719 + ... + 2474066889.

Almost surely, 2^{2897131641984} is an apocalyptic number.

2897131641984 is a gapful number since it is divisible by the number (24) 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 2897131641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769446968000).

2897131641984 is an abundant number, since it is smaller than the sum of its proper divisors (6641762294016).

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

2897131641984 is a wasteful number, since it uses less digits than its factorization.

2897131641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1382 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 2897131641984 in words is "two trillion, eight hundred ninety-seven billion, one hundred thirty-one million, six hundred forty-one thousand, nine hundred eighty-four".