2046733920 has 720 divisors, whose sum is σ = 9197728848. Its totient is φ = 423843840.

The previous prime is 2046733919. The next prime is 2046733933. The reversal of 2046733920 is 293376402.

It is a happy number.

2046733920 is a `hidden beast` number, since 204 + 67 + 3 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6985294 + ... + 6985586.

Almost surely, 2^2046733920 is an apocalyptic number.

2046733920 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 2046733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598864424).

2046733920 is an abundant number, since it is smaller than the sum of its proper divisors (7150994928).

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

2046733920 is a wasteful number, since it uses less digits than its factorization.

2046733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2046733920 is about 45240.8434934629. The cubic root of 2046733920 is about 1269.6590979527.

The spelling of 2046733920 in words is "two billion, forty-six million, seven hundred thirty-three thousand, nine hundred twenty".