2144555040 has 96 divisors (see below), whose sum is σ = 6866185536. Its totient is φ = 562498560.

The previous prime is 2144555009. The next prime is 2144555041. The reversal of 2144555040 is 405554412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2144554989 and 2144555007.

It is not an unprimeable number, because it can be changed into a prime (2144555041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7342 + ... + 65901.

It is an arithmetic number, because the mean of its divisors is an integer number (71522766).

Almost surely, 2^2144555040 is an apocalyptic number.

2144555040 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 2144555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433092768).

2144555040 is an abundant number, since it is smaller than the sum of its proper divisors (4721630496).

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

2144555040 is a wasteful number, since it uses less digits than its factorization.

2144555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73322 (or 73314 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2144555040 is about 46309.3407424463. The cubic root of 2144555040 is about 1289.5724080098.

The spelling of 2144555040 in words is "two billion, one hundred forty-four million, five hundred fifty-five thousand, forty".