2642720600 has 144 divisors (see below), whose sum is σ = 6819172920. Its totient is φ = 951475200.

The previous prime is 2642720557. The next prime is 2642720623. The reversal of 2642720600 is 60272462.

2642720600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1384847 + ... + 1386753.

Almost surely, 2^2642720600 is an apocalyptic number.

2642720600 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 2642720600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409586460).

2642720600 is an abundant number, since it is smaller than the sum of its proper divisors (4176452320).

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

2642720600 is a wasteful number, since it uses less digits than its factorization.

2642720600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2642720600 is about 51407.3983002447. The cubic root of 2642720600 is about 1382.5592430470.

The spelling of 2642720600 in words is "two billion, six hundred forty-two million, seven hundred twenty thousand, six hundred".