2144468480 has 480 divisors, whose sum is σ = 6896558592. Its totient is φ = 624476160.

The previous prime is 2144468477. The next prime is 2144468489. The reversal of 2144468480 is 848644412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144468489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49871339 + ... + 49871381.

Almost surely, 2^2144468480 is an apocalyptic number.

2144468480 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 2144468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448279296).

2144468480 is an abundant number, since it is smaller than the sum of its proper divisors (4752090112).

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

2144468480 is a wasteful number, since it uses less digits than its factorization.

2144468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The square root of 2144468480 is about 46308.4061483442. The cubic root of 2144468480 is about 1289.5550575746. Note that the first 3 decimals are identical.

The spelling of 2144468480 in words is "two billion, one hundred forty-four million, four hundred sixty-eight thousand, four hundred eighty".