2002644144 has 120 divisors (see below), whose sum is σ = 5825690624. Its totient is φ = 641520000.

The previous prime is 2002644101. The next prime is 2002644151. The reversal of 2002644144 is 4414462002.

It is a happy number.

2002644144 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 644 + 14 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672579 + ... + 675549.

Almost surely, 2^2002644144 is an apocalyptic number.

2002644144 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 2002644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912845312).

2002644144 is an abundant number, since it is smaller than the sum of its proper divisors (3823046480).

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

2002644144 is a wasteful number, since it uses less digits than its factorization.

2002644144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2002644144 is about 44750.9122141661. The cubic root of 2002644144 is about 1260.4760408348.

The spelling of 2002644144 in words is "two billion, two million, six hundred forty-four thousand, one hundred forty-four".