2149777171824 has 160 divisors (see below), whose sum is σ = 5984102707200. Its totient is φ = 663090954240.

The previous prime is 2149777171819. The next prime is 2149777171873. The reversal of 2149777171824 is 4281717779412.

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 31 ways as a sum of consecutive naturals, for example, 113922262 + ... + 113941130.

It is an arithmetic number, because the mean of its divisors is an integer number (37400641920).

Almost surely, 2^{2149777171824} is an apocalyptic number.

2149777171824 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 2149777171824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992051353600).

2149777171824 is an abundant number, since it is smaller than the sum of its proper divisors (3834325535376).

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

2149777171824 is a wasteful number, since it uses less digits than its factorization.

2149777171824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22263 (or 22257 counting only the distinct ones).

The product of its digits is 11063808, while the sum is 60.

The spelling of 2149777171824 in words is "two trillion, one hundred forty-nine billion, seven hundred seventy-seven million, one hundred seventy-one thousand, eight hundred twenty-four".