2400045032 has 64 divisors (see below), whose sum is σ = 5854464000. Its totient is φ = 894421440.

The previous prime is 2400045019. The next prime is 2400045073. The reversal of 2400045032 is 2305400042.

It is a super-4 number, since 4×2400045032⁴ (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400044995 and 2400045013.

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 15 ways as a sum of consecutive naturals, for example, 70532 + ... + 98867.

It is an arithmetic number, because the mean of its divisors is an integer number (91476000).

Almost surely, 2^2400045032 is an apocalyptic number.

2400045032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2400045032 is an abundant number, since it is smaller than the sum of its proper divisors (3454418968).

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

2400045032 is a wasteful number, since it uses less digits than its factorization.

2400045032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169446 (or 169442 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2400045032 is about 48990.2544594331. The cubic root of 2400045032 is about 1338.8742739744.

Adding to 2400045032 its reverse (2305400042), we get a palindrome (4705445074).

The spelling of 2400045032 in words is "two billion, four hundred million, forty-five thousand, thirty-two".