2987745079008 has 96 divisors (see below), whose sum is σ = 7929931363200. Its totient is φ = 984889622016.

The previous prime is 2987745078979. The next prime is 2987745079021. The reversal of 2987745079008 is 8009705477892.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2987745079008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5199703 + ... + 5745641.

It is an arithmetic number, because the mean of its divisors is an integer number (82603451700).

Almost surely, 2^{2987745079008} 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 2987745079008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964965681600).

2987745079008 is an abundant number, since it is smaller than the sum of its proper divisors (4942186284192).

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

2987745079008 is a wasteful number, since it uses less digits than its factorization.

2987745079008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546584 (or 546576 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 66.

The spelling of 2987745079008 in words is "two trillion, nine hundred eighty-seven billion, seven hundred forty-five million, seventy-nine thousand, eight".