2146791760 has 40 divisors (see below), whose sum is σ = 5253994080. Its totient is φ = 813520512.

The previous prime is 2146791737. The next prime is 2146791769. The reversal of 2146791760 is 671976412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146791769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 704662 + ... + 707701.

It is an arithmetic number, because the mean of its divisors is an integer number (131349852).

Almost surely, 2^2146791760 is an apocalyptic number.

2146791760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146791760 is an abundant number, since it is smaller than the sum of its proper divisors (3107202320).

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

2146791760 is a wasteful number, since it uses less digits than its factorization.

2146791760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412395 (or 1412389 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 2146791760 is about 46333.4842203778. The cubic root of 2146791760 is about 1290.0205833705.

The spelling of 2146791760 in words is "two billion, one hundred forty-six million, seven hundred ninety-one thousand, seven hundred sixty".