2801143944 has 160 divisors (see below), whose sum is σ = 8177954400. Its totient is φ = 895000320.

The previous prime is 2801143937. The next prime is 2801143957. The reversal of 2801143944 is 4493411082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2801143899 and 2801143908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1566619 + ... + 1568405.

It is an arithmetic number, because the mean of its divisors is an integer number (51112215).

Almost surely, 2^2801143944 is an apocalyptic number.

2801143944 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 2801143944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088977200).

2801143944 is an abundant number, since it is smaller than the sum of its proper divisors (5376810456).

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

2801143944 is a wasteful number, since it uses less digits than its factorization.

2801143944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2801143944 is about 52925.8343722610. The cubic root of 2801143944 is about 1409.6516658767.

The spelling of 2801143944 in words is "two billion, eight hundred one million, one hundred forty-three thousand, nine hundred forty-four".