2881165486464 has 1024 divisors, whose sum is σ = 9483982848000. Its totient is φ = 858370867200.

The previous prime is 2881165486457. The next prime is 2881165486471. The reversal of 2881165486464 is 4646845611882.

It is a happy number.

2881165486464 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 165 + 4 + 8 + 6 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (2881165486457) and next prime (2881165486471).

It is a super-2 number, since 2×2881165486464² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8161941712 + ... + 8161942064.

It is an arithmetic number, because the mean of its divisors is an integer number (9261702000).

Almost surely, 2^{2881165486464} is an apocalyptic number.

2881165486464 is a gapful number since it is divisible by the number (24) 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 2881165486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741991424000).

2881165486464 is an abundant number, since it is smaller than the sum of its proper divisors (6602817361536).

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

2881165486464 is a wasteful number, since it uses less digits than its factorization.

2881165486464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 526 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 2881165486464 in words is "two trillion, eight hundred eighty-one billion, one hundred sixty-five million, four hundred eighty-six thousand, four hundred sixty-four".