2449120800 has 288 divisors, whose sum is σ = 9240158592. Its totient is φ = 551854080.

The previous prime is 2449120763. The next prime is 2449120823. The reversal of 2449120800 is 80219442.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1225402 + ... + 1227398.

It is an arithmetic number, because the mean of its divisors is an integer number (32083884).

Almost surely, 2^2449120800 is an apocalyptic number.

2449120800 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 2449120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620079296).

2449120800 is an abundant number, since it is smaller than the sum of its proper divisors (6791037792).

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

2449120800 is a wasteful number, since it uses less digits than its factorization.

2449120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2449120800 is about 49488.5926249676. The cubic root of 2449120800 is about 1347.9384721863.

The spelling of 2449120800 in words is "two billion, four hundred forty-nine million, one hundred twenty thousand, eight hundred".