2046739000320 has 2772 divisors, whose sum is σ = 9329085313344. Its totient is φ = 428906741760.

The previous prime is 2046739000297. The next prime is 2046739000321. The reversal of 2046739000320 is 230009376402.

It is a happy number.

2046739000320 is a `hidden beast` number, since 204 + 67 + 390 + 0 + 0 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2046739000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 66023838705 + ... + 66023838735.

Almost surely, 2^{2046739000320} is an apocalyptic number.

2046739000320 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 2046739000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664542656672).

2046739000320 is an abundant number, since it is smaller than the sum of its proper divisors (7282346313024).

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

2046739000320 is an equidigital number, since it uses as much as digits as its factorization.

2046739000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 67 counting only the distinct ones).

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

The spelling of 2046739000320 in words is "two trillion, forty-six billion, seven hundred thirty-nine million, three hundred twenty", and thus it is an aban number.