2646268128 has 432 divisors, whose sum is σ = 9465071616. Its totient is φ = 697213440.

The previous prime is 2646268099. The next prime is 2646268147. The reversal of 2646268128 is 8218626462.

2646268128 is a `hidden beast` number, since 2 + 6 + 4 + 626 + 8 + 12 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10061725 + ... + 10061987.

It is an arithmetic number, because the mean of its divisors is an integer number (21909888).

Almost surely, 2^2646268128 is an apocalyptic number.

2646268128 is a gapful number since it is divisible by the number (28) 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 2646268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732535808).

2646268128 is an abundant number, since it is smaller than the sum of its proper divisors (6818803488).

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

2646268128 is a wasteful number, since it uses less digits than its factorization.

2646268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2646268128 is about 51441.8907895112. The cubic root of 2646268128 is about 1383.1776051273.

The spelling of 2646268128 in words is "two billion, six hundred forty-six million, two hundred sixty-eight thousand, one hundred twenty-eight".