2036213424 has 480 divisors, whose sum is σ = 7328102400. Its totient is φ = 538513920.

The previous prime is 2036213371. The next prime is 2036213447. The reversal of 2036213424 is 4243126302.

2036213424 is a `hidden beast` number, since 2 + 0 + 3 + 621 + 34 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19029979 + ... + 19030085.

It is an arithmetic number, because the mean of its divisors is an integer number (15266880).

Almost surely, 2^2036213424 is an apocalyptic number.

2036213424 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 2036213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664051200).

2036213424 is an abundant number, since it is smaller than the sum of its proper divisors (5291888976).

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

2036213424 is a wasteful number, since it uses less digits than its factorization.

2036213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2036213424 is about 45124.4215918609. The cubic root of 2036213424 is about 1267.4799520655.

Adding to 2036213424 its reverse (4243126302), we get a palindrome (6279339726).

The spelling of 2036213424 in words is "two billion, thirty-six million, two hundred thirteen thousand, four hundred twenty-four".