2163825144 has 128 divisors (see below), whose sum is σ = 6853896000. Its totient is φ = 626614272.

The previous prime is 2163825113. The next prime is 2163825173. The reversal of 2163825144 is 4415283612.

It is a happy number.

2163825144 is a `hidden beast` number, since 2 + 1 + 63 + 82 + 514 + 4 = 666.

2163825144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2163825099 and 2163825108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25072 + ... + 70400.

Almost surely, 2^2163825144 is an apocalyptic number.

2163825144 is a gapful number since it is divisible by the number (24) 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 2163825144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426948000).

2163825144 is an abundant number, since it is smaller than the sum of its proper divisors (4690070856).

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

2163825144 is a wasteful number, since it uses less digits than its factorization.

2163825144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45374 (or 45364 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2163825144 is about 46516.9339488320. The cubic root of 2163825144 is about 1293.4234217073.

The spelling of 2163825144 in words is "two billion, one hundred sixty-three million, eight hundred twenty-five thousand, one hundred forty-four".