2449612800 has 336 divisors, whose sum is σ = 9019824480. Its totient is φ = 651755520.

The previous prime is 2449612793. The next prime is 2449612801. The reversal of 2449612800 is 82169442.

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

It is not an unprimeable number, because it can be changed into a prime (2449612801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529379 + ... + 5529821.

Almost surely, 2^2449612800 is an apocalyptic number.

2449612800 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 2449612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509912240).

2449612800 is an abundant number, since it is smaller than the sum of its proper divisors (6570211680).

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

2449612800 is an equidigital number, since it uses as much as digits as its factorization.

2449612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2449612800 is about 49493.5632178569. The cubic root of 2449612800 is about 1348.0287278847.

The spelling of 2449612800 in words is "two billion, four hundred forty-nine million, six hundred twelve thousand, eight hundred".