2959987024896 has 704 divisors, whose sum is σ = 9433582141440. Its totient is φ = 815173632000.

The previous prime is 2959987024861. The next prime is 2959987024913. The reversal of 2959987024896 is 6984207899592.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2527742391 + ... + 2527743561.

Almost surely, 2^{2959987024896} 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 2959987024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716791070720).

2959987024896 is an abundant number, since it is smaller than the sum of its proper divisors (6473595116544).

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

2959987024896 is a wasteful number, since it uses less digits than its factorization.

2959987024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 78.

The spelling of 2959987024896 in words is "two trillion, nine hundred fifty-nine billion, nine hundred eighty-seven million, twenty-four thousand, eight hundred ninety-six".