2049890688 has 96 divisors (see below), whose sum is σ = 5907807360. Its totient is φ = 682251264.

The previous prime is 2049890659. The next prime is 2049890707. The reversal of 2049890688 is 8860989402.

2049890688 is a `hidden beast` number, since 2 + 0 + 498 + 90 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2049890688² = 8404103665498226688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1251406 + ... + 1253042.

It is an arithmetic number, because the mean of its divisors is an integer number (61539660).

Almost surely, 2^2049890688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953903680).

2049890688 is an abundant number, since it is smaller than the sum of its proper divisors (3857916672).

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

2049890688 is a wasteful number, since it uses less digits than its factorization.

2049890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2049890688 is about 45275.7185254966. The cubic root of 2049890688 is about 1270.3115130605.

The spelling of 2049890688 in words is "two billion, forty-nine million, eight hundred ninety thousand, six hundred eighty-eight".