2144931840 has 312 divisors, whose sum is σ = 7728110208. Its totient is φ = 570654720.

The previous prime is 2144931839. The next prime is 2144931911. The reversal of 2144931840 is 481394412.

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 = 2144931795 and 2144931804.

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 23 ways as a sum of consecutive naturals, for example, 4976425 + ... + 4976855.

It is an arithmetic number, because the mean of its divisors is an integer number (24769584).

Almost surely, 2^2144931840 is an apocalyptic number.

2144931840 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 2144931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864055104).

2144931840 is an abundant number, since it is smaller than the sum of its proper divisors (5583178368).

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

2144931840 is an frugal number, since it uses more digits than its factorization.

2144931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 441 counting only the distinct ones).

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

The square root of 2144931840 is about 46313.4088574788. The cubic root of 2144931840 is about 1289.6479298808.

The spelling of 2144931840 in words is "two billion, one hundred forty-four million, nine hundred thirty-one thousand, eight hundred forty".