2144852640 has 288 divisors, whose sum is σ = 8401760640. Its totient is φ = 488097792.

The previous prime is 2144852629. The next prime is 2144852641. The reversal of 2144852640 is 462584412.

2144852640 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 8 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2144852595 and 2144852604.

It is not an unprimeable number, because it can be changed into a prime (2144852641) 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, 3920847 + ... + 3921393.

It is an arithmetic number, because the mean of its divisors is an integer number (29172780).

Almost surely, 2^2144852640 is an apocalyptic number.

2144852640 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 2144852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200880320).

2144852640 is an abundant number, since it is smaller than the sum of its proper divisors (6256908000).

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

2144852640 is a wasteful number, since it uses less digits than its factorization.

2144852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2144852640 is about 46312.5538056368. The cubic root of 2144852640 is about 1289.6320565912.

It can be divided in two parts, 21448 and 52640, that added together give a cube (74088 = 42³).

The spelling of 2144852640 in words is "two billion, one hundred forty-four million, eight hundred fifty-two thousand, six hundred forty".