2646124064 has 48 divisors (see below), whose sum is σ = 5350665600. Its totient is φ = 1287546624.

The previous prime is 2646124049. The next prime is 2646124081. The reversal of 2646124064 is 4604216462.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264302 + ... + 274130.

It is an arithmetic number, because the mean of its divisors is an integer number (111472200).

Almost surely, 2^2646124064 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 2646124064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675332800).

2646124064 is an abundant number, since it is smaller than the sum of its proper divisors (2704541536).

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

2646124064 is a wasteful number, since it uses less digits than its factorization.

2646124064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 2646124064 is about 51440.4905108806. The cubic root of 2646124064 is about 1383.1525044062.

The spelling of 2646124064 in words is "two billion, six hundred forty-six million, one hundred twenty-four thousand, sixty-four".