2033083416 has 128 divisors (see below), whose sum is σ = 6457651200. Its totient is φ = 518883840.

The previous prime is 2033083373. The next prime is 2033083427. The reversal of 2033083416 is 6143803302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52690 + ... + 82718.

It is an arithmetic number, because the mean of its divisors is an integer number (50450400).

Almost surely, 2^2033083416 is an apocalyptic number.

2033083416 is a gapful number since it is divisible by the number (26) 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 2033083416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228825600).

2033083416 is an abundant number, since it is smaller than the sum of its proper divisors (4424567784).

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

2033083416 is a wasteful number, since it uses less digits than its factorization.

2033083416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30089 (or 30085 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2033083416 is about 45089.7262799410. The cubic root of 2033083416 is about 1266.8301745836.

Adding to 2033083416 its reverse (6143803302), we get a palindrome (8176886718).

The spelling of 2033083416 in words is "two billion, thirty-three million, eighty-three thousand, four hundred sixteen".