2444132000 has 48 divisors (see below), whose sum is σ = 6005242152. Its totient is φ = 977651200.

The previous prime is 2444131981. The next prime is 2444132003. The reversal of 2444132000 is 2314442.

2444132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 943964176 + 1500167824 = 30724^2 + 38732^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2444132003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301517 + ... + 309516.

Almost surely, 2^2444132000 is an apocalyptic number.

2444132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444132000 is an abundant number, since it is smaller than the sum of its proper divisors (3561110152).

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

2444132000 is an equidigital number, since it uses as much as digits as its factorization.

2444132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611058 (or 611040 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2444132000 is about 49438.1633963075. The cubic root of 2444132000 is about 1347.0226106562.

Adding to 2444132000 its reverse (2314442), we get a palindrome (2446446442).

The spelling of 2444132000 in words is "two billion, four hundred forty-four million, one hundred thirty-two thousand".