2045072232 has 384 divisors, whose sum is σ = 7144243200. Its totient is φ = 538876800.

The previous prime is 2045072221. The next prime is 2045072261. The reversal of 2045072232 is 2322705402.

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

It is a junction number, because it is equal to n+sod(n) for n = 2045072196 and 2045072205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7546257 + ... + 7546527.

It is an arithmetic number, because the mean of its divisors is an integer number (18604800).

Almost surely, 2^2045072232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045072232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572121600).

2045072232 is an abundant number, since it is smaller than the sum of its proper divisors (5099170968).

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

2045072232 is a wasteful number, since it uses less digits than its factorization.

2045072232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2045072232 is about 45222.4748548772. The cubic root of 2045072232 is about 1269.3154042787.

Adding to 2045072232 its reverse (2322705402), we get a palindrome (4367777634).

The spelling of 2045072232 in words is "two billion, forty-five million, seventy-two thousand, two hundred thirty-two".