2011489200 has 600 divisors, whose sum is σ = 8465256800. Its totient is φ = 457228800.

The previous prime is 2011489189. The next prime is 2011489223. The reversal of 2011489200 is 29841102.

It is a tau number, because it is divible by the number of its divisors (600).

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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11113110 + ... + 11113290.

Almost surely, 2^2011489200 is an apocalyptic number.

2011489200 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 2011489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232628400).

2011489200 is an abundant number, since it is smaller than the sum of its proper divisors (6453767600).

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

2011489200 is a wasteful number, since it uses less digits than its factorization.

2011489200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2011489200 is about 44849.6287610054. The cubic root of 2011489200 is about 1262.3290256329.

The spelling of 2011489200 in words is "two billion, eleven million, four hundred eighty-nine thousand, two hundred".