2449044000 has 288 divisors, whose sum is σ = 9362034864. Its totient is φ = 602726400.

The previous prime is 2449043983. The next prime is 2449044001. The reversal of 2449044000 is 4409442.

It can be written as a sum of positive squares in 8 ways, for example, as 187470864 + 2261573136 = 13692^2 + 47556^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2449044001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465384 + ... + 470616.

Almost surely, 2^2449044000 is an apocalyptic number.

2449044000 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 2449044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681017432).

2449044000 is an abundant number, since it is smaller than the sum of its proper divisors (6912990864).

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

2449044000 is a wasteful number, since it uses less digits than its factorization.

2449044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2449044000 is about 49487.8166824927. The cubic root of 2449044000 is about 1347.9243824013.

The spelling of 2449044000 in words is "two billion, four hundred forty-nine million, forty-four thousand".