2011870224 has 300 divisors, whose sum is σ = 7297660524. Its totient is φ = 530385408.

The previous prime is 2011870199. The next prime is 2011870229. The reversal of 2011870224 is 4220781102.

2011870224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1157360400 + 854509824 = 34020^2 + 29232^2 .

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 (2011870229) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 824334 + ... + 826770.

Almost surely, 2^2011870224 is an apocalyptic number.

2011870224 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 2011870224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648830262).

2011870224 is an abundant number, since it is smaller than the sum of its proper divisors (5285790300).

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

2011870224 is a wasteful number, since it uses less digits than its factorization.

2011870224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2011870224 is about 44853.8763542238. The cubic root of 2011870224 is about 1262.4087256694.

The spelling of 2011870224 in words is "two billion, eleven million, eight hundred seventy thousand, two hundred twenty-four".