2646057312 has 72 divisors (see below), whose sum is σ = 7540827840. Its totient is φ = 880131840.

The previous prime is 2646057307. The next prime is 2646057313. The reversal of 2646057312 is 2137506462.

2646057312 is a `hidden beast` number, since 2 + 646 + 0 + 5 + 7 + 3 + 1 + 2 = 666.

2646057312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646057313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128362 + ... + 147542.

It is an arithmetic number, because the mean of its divisors is an integer number (104733720).

Almost surely, 2^2646057312 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 2646057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770413920).

2646057312 is an abundant number, since it is smaller than the sum of its proper divisors (4894770528).

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

2646057312 is a wasteful number, since it uses less digits than its factorization.

2646057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19676 (or 19665 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2646057312 is about 51439.8416793831. The cubic root of 2646057312 is about 1383.1408736877.

The spelling of 2646057312 in words is "two billion, six hundred forty-six million, fifty-seven thousand, three hundred twelve".