2045332224 has 216 divisors, whose sum is σ = 6629182560. Its totient is φ = 601767936.

The previous prime is 2045332207. The next prime is 2045332259. The reversal of 2045332224 is 4222335402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687412 + ... + 690380.

It is an arithmetic number, because the mean of its divisors is an integer number (30690660).

Almost surely, 2^2045332224 is an apocalyptic number.

2045332224 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 2045332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314591280).

2045332224 is an abundant number, since it is smaller than the sum of its proper divisors (4583850336).

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

2045332224 is a wasteful number, since it uses less digits than its factorization.

2045332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2045332224 is about 45225.3493518845. The cubic root of 2045332224 is about 1269.3691917621.

Adding to 2045332224 its reverse (4222335402), we get a palindrome (6267667626).

The spelling of 2045332224 in words is "two billion, forty-five million, three hundred thirty-two thousand, two hundred twenty-four".