2049733728 has 192 divisors, whose sum is σ = 6867141120. Its totient is φ = 582667776.

The previous prime is 2049733669. The next prime is 2049733759. The reversal of 2049733728 is 8273379402.

2049733728 is a `hidden beast` number, since 204 + 9 + 73 + 372 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372150 + ... + 1373642.

It is an arithmetic number, because the mean of its divisors is an integer number (35766360).

Almost surely, 2^2049733728 is an apocalyptic number.

2049733728 is a gapful number since it is divisible by the number (28) 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 2049733728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433570560).

2049733728 is an abundant number, since it is smaller than the sum of its proper divisors (4817407392).

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

2049733728 is a wasteful number, since it uses less digits than its factorization.

2049733728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2049733728 is about 45273.9851128659. The cubic root of 2049733728 is about 1270.2790896756.

The spelling of 2049733728 in words is "two billion, forty-nine million, seven hundred thirty-three thousand, seven hundred twenty-eight".