2642328000 has 448 divisors, whose sum is σ = 10451226240. Its totient is φ = 649728000.

The previous prime is 2642327999. The next prime is 2642328001. The reversal of 2642328000 is 8232462.

It is an interprime number because it is at equal distance from previous prime (2642327999) and next prime (2642328001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642328001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807530 + ... + 2808470.

It is an arithmetic number, because the mean of its divisors is an integer number (23328630).

Almost surely, 2^2642328000 is an apocalyptic number.

2642328000 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 2642328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225613120).

2642328000 is an abundant number, since it is smaller than the sum of its proper divisors (7808898240).

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

2642328000 is a wasteful number, since it uses less digits than its factorization.

2642328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2642328000 is about 51403.5796418888. The cubic root of 2642328000 is about 1382.4907757713.

The spelling of 2642328000 in words is "two billion, six hundred forty-two million, three hundred twenty-eight thousand".