2144545040 has 80 divisors (see below), whose sum is σ = 5447597760. Its totient is φ = 778652160.

The previous prime is 2144545037. The next prime is 2144545043. The reversal of 2144545040 is 405454412.

It is an interprime number because it is at equal distance from previous prime (2144545037) and next prime (2144545043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2144544994 and 2144545012.

It is not an unprimeable number, because it can be changed into a prime (2144545043) 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, 754502 + ... + 757338.

It is an arithmetic number, because the mean of its divisors is an integer number (68094972).

Almost surely, 2^2144545040 is an apocalyptic number.

2144545040 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 2144545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723798880).

2144545040 is an abundant number, since it is smaller than the sum of its proper divisors (3303052720).

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

2144545040 is a wasteful number, since it uses less digits than its factorization.

2144545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 2144545040 is about 46309.2327727420. The cubic root of 2144545040 is about 1289.5704035933.

Adding to 2144545040 its reverse (405454412), we get a palindrome (2549999452).

The spelling of 2144545040 in words is "two billion, one hundred forty-four million, five hundred forty-five thousand, forty".