2641793728 has 56 divisors (see below), whose sum is σ = 6007404800. Its totient is φ = 1129137408.

The previous prime is 2641793723. The next prime is 2641793741. The reversal of 2641793728 is 8273971462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (2641793723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162013 + ... + 177571.

Almost surely, 2^2641793728 is an apocalyptic number.

2641793728 is a gapful number since it is divisible by the number (28) 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 2641793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003702400).

2641793728 is an abundant number, since it is smaller than the sum of its proper divisors (3365611072).

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

2641793728 is a wasteful number, since it uses less digits than its factorization.

2641793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957 (or 15947 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The square root of 2641793728 is about 51398.3825426443. The cubic root of 2641793728 is about 1382.3975907844.

The spelling of 2641793728 in words is "two billion, six hundred forty-one million, seven hundred ninety-three thousand, seven hundred twenty-eight".