2143964560 has 120 divisors (see below), whose sum is σ = 5351516856. Its totient is φ = 798474240.

The previous prime is 2143964531. The next prime is 2143964561. The reversal of 2143964560 is 654693412.

It can be written as a sum of positive squares in 4 ways, for example, as 8785296 + 2135179264 = 2964^2 + 46208^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143964561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1761072 + ... + 1762288.

Almost surely, 2^2143964560 is an apocalyptic number.

2143964560 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 2143964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675758428).

2143964560 is an abundant number, since it is smaller than the sum of its proper divisors (3207552296).

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

2143964560 is a wasteful number, since it uses less digits than its factorization.

2143964560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 2143964560 is about 46302.9649158669. The cubic root of 2143964560 is about 1289.4540405475.

The spelling of 2143964560 in words is "two billion, one hundred forty-three million, nine hundred sixty-four thousand, five hundred sixty".