2144311040 has 144 divisors (see below), whose sum is σ = 5406216480. Its totient is φ = 813711360.

The previous prime is 2144311027. The next prime is 2144311067. The reversal of 2144311040 is 401134412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263847 + ... + 2264793.

It is an arithmetic number, because the mean of its divisors is an integer number (37543170).

Almost surely, 2^2144311040 is an apocalyptic number.

2144311040 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 2144311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703108240).

2144311040 is an abundant number, since it is smaller than the sum of its proper divisors (3261905440).

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

2144311040 is an equidigital number, since it uses as much as digits as its factorization.

2144311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2144311040 is about 46306.7062097921. The cubic root of 2144311040 is about 1289.5234984697.

Adding to 2144311040 its reverse (401134412), we get a palindrome (2545445452).

The spelling of 2144311040 in words is "two billion, one hundred forty-four million, three hundred eleven thousand, forty".