2049934800 has 360 divisors, whose sum is σ = 7307228736. Its totient is φ = 490209280.

The previous prime is 2049934753. The next prime is 2049934801. The reversal of 2049934800 is 84399402.

2049934800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049934801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7976272 + ... + 7976528.

Almost surely, 2^2049934800 is an apocalyptic number.

2049934800 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 2049934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653614368).

2049934800 is an abundant number, since it is smaller than the sum of its proper divisors (5257293936).

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

2049934800 is a wasteful number, since it uses less digits than its factorization.

2049934800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2049934800 is about 45276.2056714120. The cubic root of 2049934800 is about 1270.3206250227.

The spelling of 2049934800 in words is "two billion, forty-nine million, nine hundred thirty-four thousand, eight hundred".