2645461728 has 192 divisors, whose sum is σ = 9496811520. Its totient is φ = 697683456.

The previous prime is 2645461727. The next prime is 2645461733. The reversal of 2645461728 is 8271645462.

2645461728 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 4 + 617 + 28 = 666.

2645461728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2645461727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61801 + ... + 95447.

It is an arithmetic number, because the mean of its divisors is an integer number (49462560).

Almost surely, 2^2645461728 is an apocalyptic number.

2645461728 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 2645461728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748405760).

2645461728 is an abundant number, since it is smaller than the sum of its proper divisors (6851349792).

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

2645461728 is a wasteful number, since it uses less digits than its factorization.

2645461728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33686 (or 33672 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2645461728 is about 51434.0522222389. The cubic root of 2645461728 is about 1383.0370918101.

The spelling of 2645461728 in words is "two billion, six hundred forty-five million, four hundred sixty-one thousand, seven hundred twenty-eight".