2642033000 has 128 divisors (see below), whose sum is σ = 6489400320. Its totient is φ = 1004889600.

The previous prime is 2642032993. The next prime is 2642033003. The reversal of 2642033000 is 3302462.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2642033003) 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 31 ways as a sum of consecutive naturals, for example, 7198817 + ... + 7199183.

It is an arithmetic number, because the mean of its divisors is an integer number (50698440).

Almost surely, 2^2642033000 is an apocalyptic number.

2642033000 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 2642033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244700160).

2642033000 is an abundant number, since it is smaller than the sum of its proper divisors (3847367320).

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

2642033000 is a wasteful number, since it uses less digits than its factorization.

2642033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2642033000 is about 51400.7101118263. The cubic root of 2642033000 is about 1382.4393249349.

Adding to 2642033000 its reverse (3302462), we get a palindrome (2645335462).

The spelling of 2642033000 in words is "two billion, six hundred forty-two million, thirty-three thousand".