2049355200 has 336 divisors, whose sum is σ = 7392741120. Its totient is φ = 494714880.

The previous prime is 2049355171. The next prime is 2049355201. The reversal of 2049355200 is 25539402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049355201) 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, 2097112 + ... + 2098088.

Almost surely, 2^2049355200 is an apocalyptic number.

2049355200 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 2049355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696370560).

2049355200 is an abundant number, since it is smaller than the sum of its proper divisors (5343385920).

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

2049355200 is a wasteful number, since it uses less digits than its factorization.

2049355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2049355200 is about 45269.8045058734. The cubic root of 2049355200 is about 1270.2008899565.

The spelling of 2049355200 in words is "two billion, forty-nine million, three hundred fifty-five thousand, two hundred".