2981671527120 has 640 divisors, whose sum is σ = 11095737827328. Its totient is φ = 652835635200.

The previous prime is 2981671527101. The next prime is 2981671527127. The reversal of 2981671527120 is 217251761892.

It is a happy number.

2981671527120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2981671527120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981671527127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318176035 + ... + 318185405.

Almost surely, 2^{2981671527120} is an apocalyptic number.

2981671527120 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 2981671527120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547868913664).

2981671527120 is an abundant number, since it is smaller than the sum of its proper divisors (8114066300208).

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

2981671527120 is a wasteful number, since it uses less digits than its factorization.

2981671527120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9611 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 2981671527120 in words is "two trillion, nine hundred eighty-one billion, six hundred seventy-one million, five hundred twenty-seven thousand, one hundred twenty".