2445849000 has 256 divisors, whose sum is σ = 9690969600. Its totient is φ = 559008000.

The previous prime is 2445848989. The next prime is 2445849037. The reversal of 2445849000 is 9485442.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 182530 + ... + 195470.

It is an arithmetic number, because the mean of its divisors is an integer number (37855350).

Almost surely, 2^2445849000 is an apocalyptic number.

2445849000 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 2445849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845484800).

2445849000 is an abundant number, since it is smaller than the sum of its proper divisors (7245120600).

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

2445849000 is a wasteful number, since it uses less digits than its factorization.

2445849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12978 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2445849000 is about 49455.5254749153. The cubic root of 2445849000 is about 1347.3379641157.

The spelling of 2445849000 in words is "two billion, four hundred forty-five million, eight hundred forty-nine thousand".