2896123969536 has 720 divisors, whose sum is σ = 9620726734080. Its totient is φ = 756980121600.

The previous prime is 2896123969523. The next prime is 2896123969547. The reversal of 2896123969536 is 6359693216982.

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 47 ways as a sum of consecutive naturals, for example, 6282264346 + ... + 6282264806.

It is an arithmetic number, because the mean of its divisors is an integer number (13362120464).

Almost surely, 2^{2896123969536} 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 2896123969536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810363367040).

2896123969536 is an abundant number, since it is smaller than the sum of its proper divisors (6724602764544).

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

2896123969536 is an equidigital number, since it uses as much as digits as its factorization.

2896123969536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 523 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 69.

The spelling of 2896123969536 in words is "two trillion, eight hundred ninety-six billion, one hundred twenty-three million, nine hundred sixty-nine thousand, five hundred thirty-six".