2013050880 has 288 divisors, whose sum is σ = 7244218800. Its totient is φ = 536150016.

The previous prime is 2013050839. The next prime is 2013050881. The reversal of 2013050880 is 880503102.

It is a happy number.

2013050880 is a `hidden beast` number, since 20 + 130 + 508 + 8 + 0 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013050881) 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, 2487916 + ... + 2488724.

Almost surely, 2^2013050880 is an apocalyptic number.

2013050880 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 2013050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622109400).

2013050880 is an abundant number, since it is smaller than the sum of its proper divisors (5231167920).

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

2013050880 is an frugal number, since it uses more digits than its factorization.

2013050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2013050880 is about 44867.0355606430. The cubic root of 2013050880 is about 1262.6556234655.

Adding to 2013050880 its reverse (880503102), we get a palindrome (2893553982).

The spelling of 2013050880 in words is "two billion, thirteen million, fifty thousand, eight hundred eighty".