2049792000 has 384 divisors, whose sum is σ = 7267216320. Its totient is φ = 511180800.

The previous prime is 2049791999. The next prime is 2049792011. The reversal of 2049792000 is 2979402.

It is a tau number, because it is divible by the number of its divisors (384).

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, 13055922 + ... + 13056078.

Almost surely, 2^2049792000 is an apocalyptic number.

2049792000 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 2049792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633608160).

2049792000 is an abundant number, since it is smaller than the sum of its proper divisors (5217424320).

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

2049792000 is a wasteful number, since it uses less digits than its factorization.

2049792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2049792000 is about 45274.6286566770. The cubic root of 2049792000 is about 1270.2911271744.

The spelling of 2049792000 in words is "two billion, forty-nine million, seven hundred ninety-two thousand".