2989627870320 has 3840 divisors, whose sum is σ = 14894046720000. Its totient is φ = 544285163520.

The previous prime is 2989627870319. The next prime is 2989627870363. The reversal of 2989627870320 is 230787269892.

2989627870320 is a `hidden beast` number, since 2 + 98 + 96 + 2 + 78 + 70 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 96439608705 + ... + 96439608735.

It is an arithmetic number, because the mean of its divisors is an integer number (3878658000).

Almost surely, 2^{2989627870320} is an apocalyptic number.

2989627870320 is a gapful number since it is divisible by the number (20) 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 2989627870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447023360000).

2989627870320 is an abundant number, since it is smaller than the sum of its proper divisors (11904418849680).

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

2989627870320 is a wasteful number, since it uses less digits than its factorization.

2989627870320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2989627870320 in words is "two trillion, nine hundred eighty-nine billion, six hundred twenty-seven million, eight hundred seventy thousand, three hundred twenty".