2045314432 has 128 divisors (see below), whose sum is σ = 4930272000. Its totient is φ = 825624576.

The previous prime is 2045314423. The next prime is 2045314441. The reversal of 2045314432 is 2344135402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2045314423) and next prime (2045314441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2045314432² = 8366622251494965248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2045314432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5396419 + ... + 5396797.

It is an arithmetic number, because the mean of its divisors is an integer number (38517750).

Almost surely, 2^2045314432 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 2045314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465136000).

2045314432 is an abundant number, since it is smaller than the sum of its proper divisors (2884957568).

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

2045314432 is a wasteful number, since it uses less digits than its factorization.

2045314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2045314432 is about 45225.1526476141. The cubic root of 2045314432 is about 1269.3655110753.

Adding to 2045314432 its reverse (2344135402), we get a palindrome (4389449834).

The spelling of 2045314432 in words is "two billion, forty-five million, three hundred fourteen thousand, four hundred thirty-two".