2144259936 has 144 divisors (see below), whose sum is σ = 7505001504. Its totient is φ = 565512192.

The previous prime is 2144259917. The next prime is 2144259937. The reversal of 2144259936 is 6399524412.

2144259936 is a `hidden beast` number, since 2 + 14 + 42 + 599 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2144259891 and 2144259900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144259937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14701 + ... + 67116.

It is an arithmetic number, because the mean of its divisors is an integer number (52118066).

Almost surely, 2^2144259936 is an apocalyptic number.

2144259936 is a gapful number since it is divisible by the number (26) 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 2144259936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752500752).

2144259936 is an abundant number, since it is smaller than the sum of its proper divisors (5360741568).

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

2144259936 is a wasteful number, since it uses less digits than its factorization.

2144259936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81853 (or 81842 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2144259936 is about 46306.1544073787. The cubic root of 2144259936 is about 1289.5132542574.

The spelling of 2144259936 in words is "two billion, one hundred forty-four million, two hundred fifty-nine thousand, nine hundred thirty-six".