2987894107296 has 288 divisors, whose sum is σ = 10027677179520. Its totient is φ = 826178476032.

The previous prime is 2987894107291. The next prime is 2987894107313. The reversal of 2987894107296 is 6927014987892.

2987894107296 is a `hidden beast` number, since 298 + 7 + 8 + 9 + 41 + 0 + 7 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2987894107296² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2987894107291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9290886 + ... + 9607098.

It is an arithmetic number, because the mean of its divisors is an integer number (34818323540).

Almost surely, 2^{2987894107296} 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 2987894107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013838589760).

2987894107296 is an abundant number, since it is smaller than the sum of its proper divisors (7039783072224).

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

2987894107296 is a wasteful number, since it uses less digits than its factorization.

2987894107296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316388 (or 316377 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 2987894107296 in words is "two trillion, nine hundred eighty-seven billion, eight hundred ninety-four million, one hundred seven thousand, two hundred ninety-six".