2949169859328 has 288 divisors, whose sum is σ = 9801812643840. Its totient is φ = 764771143680.

The previous prime is 2949169859323. The next prime is 2949169859347. The reversal of 2949169859328 is 8239589619492.

It is a super-2 number, since 2×2949169859328² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2949169859328.

It is not an unprimeable number, because it can be changed into a prime (2949169859323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36564901 + ... + 36645467.

It is an arithmetic number, because the mean of its divisors is an integer number (34034071680).

Almost surely, 2^{2949169859328} is an apocalyptic number.

2949169859328 is a gapful number since it is divisible by the number (28) 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 2949169859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900906321920).

2949169859328 is an abundant number, since it is smaller than the sum of its proper divisors (6852642784512).

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

2949169859328 is a wasteful number, since it uses less digits than its factorization.

2949169859328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81223 (or 81209 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 75.

The spelling of 2949169859328 in words is "two trillion, nine hundred forty-nine billion, one hundred sixty-nine million, eight hundred fifty-nine thousand, three hundred twenty-eight".