2049532800 has 288 divisors, whose sum is σ = 7854597720. Its totient is φ = 468357120.

The previous prime is 2049532799. The next prime is 2049532819. The reversal of 2049532800 is 82359402.

It is a happy number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 468222 + ... + 472578.

Almost surely, 2^2049532800 is an apocalyptic number.

2049532800 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 2049532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927298860).

2049532800 is an abundant number, since it is smaller than the sum of its proper divisors (5805064920).

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

2049532800 is a wasteful number, since it uses less digits than its factorization.

2049532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2049532800 is about 45271.7660357976. The cubic root of 2049532800 is about 1270.2375813610.

The spelling of 2049532800 in words is "two billion, forty-nine million, five hundred thirty-two thousand, eight hundred".