2001879360 has 420 divisors, whose sum is σ = 7727818428. Its totient is φ = 491692032.

The previous prime is 2001879301. The next prime is 2001879391. The reversal of 2001879360 is 639781002.

It can be written as a sum of positive squares in 6 ways, for example, as 129413376 + 1872465984 = 11376^2 + 43272^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380252 + ... + 4380708.

Almost surely, 2^2001879360 is an apocalyptic number.

2001879360 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 2001879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863909214).

2001879360 is an abundant number, since it is smaller than the sum of its proper divisors (5725939068).

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

2001879360 is a wasteful number, since it uses less digits than its factorization.

2001879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2001879360 is about 44742.3664997729. The cubic root of 2001879360 is about 1260.3155672180.

The spelling of 2001879360 in words is "two billion, one million, eight hundred seventy-nine thousand, three hundred sixty".