2445144000 has 448 divisors, whose sum is σ = 9226369152. Its totient is φ = 565248000.

The previous prime is 2445143999. The next prime is 2445144049. The reversal of 2445144000 is 4415442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5303770 + ... + 5304230.

It is an arithmetic number, because the mean of its divisors is an integer number (20594574).

Almost surely, 2^2445144000 is an apocalyptic number.

2445144000 is a gapful number since it is divisible by the number (20) 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 2445144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613184576).

2445144000 is an abundant number, since it is smaller than the sum of its proper divisors (6781225152).

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

2445144000 is a wasteful number, since it uses less digits than its factorization.

2445144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2445144000 is about 49448.3973451112. The cubic root of 2445144000 is about 1347.2084978861.

Adding to 2445144000 its reverse (4415442), we get a palindrome (2449559442).

The spelling of 2445144000 in words is "two billion, four hundred forty-five million, one hundred forty-four thousand".