2642027328 has 336 divisors, whose sum is σ = 8434303680. Its totient is φ = 809948160.

The previous prime is 2642027321. The next prime is 2642027351. The reversal of 2642027328 is 8237202462.

It is a happy number.

2642027328 is a `hidden beast` number, since 2 + 642 + 0 + 2 + 7 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2642027292 and 2642027301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642027321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61442475 + ... + 61442517.

Almost surely, 2^2642027328 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 2642027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217151840).

2642027328 is an abundant number, since it is smaller than the sum of its proper divisors (5792276352).

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

2642027328 is a wasteful number, since it uses less digits than its factorization.

2642027328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2642027328 is about 51400.6549374616. The cubic root of 2642027328 is about 1382.4383356460.

The spelling of 2642027328 in words is "two billion, six hundred forty-two million, twenty-seven thousand, three hundred twenty-eight".