2011988160 has 560 divisors, whose sum is σ = 8818936896. Its totient is φ = 424009728.

The previous prime is 2011988149. The next prime is 2011988171. The reversal of 2011988160 is 618891102.

It is an interprime number because it is at equal distance from previous prime (2011988149) and next prime (2011988171).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358294 + ... + 2359146.

Almost surely, 2^2011988160 is an apocalyptic number.

2011988160 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 2011988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409468448).

2011988160 is an abundant number, since it is smaller than the sum of its proper divisors (6806948736).

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

2011988160 is a wasteful number, since it uses less digits than its factorization.

2011988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 2011988160 is about 44855.1910039407. The cubic root of 2011988160 is about 1262.4333926890.

The spelling of 2011988160 in words is "two billion, eleven million, nine hundred eighty-eight thousand, one hundred sixty".