2881267509120 has 512 divisors, whose sum is σ = 12331027215360. Its totient is φ = 552650342400.

The previous prime is 2881267509097. The next prime is 2881267509143. The reversal of 2881267509120 is 219057621882.

2881267509120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2881267509097) and next prime (2881267509143).

It is a super-2 number, since 2×2881267509120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1172340 + ... + 2671500.

It is an arithmetic number, because the mean of its divisors is an integer number (24084037530).

Almost surely, 2^{2881267509120} is an apocalyptic number.

2881267509120 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 2881267509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165513607680).

2881267509120 is an abundant number, since it is smaller than the sum of its proper divisors (9449759706240).

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

2881267509120 is a wasteful number, since it uses less digits than its factorization.

2881267509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499214 (or 1499202 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 2881267509120 in words is "two trillion, eight hundred eighty-one billion, two hundred sixty-seven million, five hundred nine thousand, one hundred twenty".