2642377728 has 176 divisors, whose sum is σ = 7852619520. Its totient is φ = 785055744.

The previous prime is 2642377723. The next prime is 2642377739. The reversal of 2642377728 is 8277732462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642377723) 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 15 ways as a sum of consecutive naturals, for example, 990925 + ... + 993587.

Almost surely, 2^2642377728 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 2642377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926309760).

2642377728 is an abundant number, since it is smaller than the sum of its proper divisors (5210241792).

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

2642377728 is a wasteful number, since it uses less digits than its factorization.

2642377728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2704 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The square root of 2642377728 is about 51404.0633413352. The cubic root of 2642377728 is about 1382.4994484355.

The spelling of 2642377728 in words is "two billion, six hundred forty-two million, three hundred seventy-seven thousand, seven hundred twenty-eight".