2054082672 has 80 divisors (see below), whose sum is σ = 5967118080. Its totient is φ = 676433088.

The previous prime is 2054082671. The next prime is 2054082683. The reversal of 2054082672 is 2762804502.

2054082672 is a `hidden beast` number, since 20 + 540 + 8 + 26 + 72 = 666.

2054082672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (2054082671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7213 + ... + 64499.

It is an arithmetic number, because the mean of its divisors is an integer number (74588976).

Almost surely, 2^2054082672 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 2054082672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983559040).

2054082672 is an abundant number, since it is smaller than the sum of its proper divisors (3913035408).

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

2054082672 is a wasteful number, since it uses less digits than its factorization.

2054082672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57387 (or 57375 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2054082672 is about 45321.9888354428. The cubic root of 2054082672 is about 1271.1768437118.

The spelling of 2054082672 in words is "two billion, fifty-four million, eighty-two thousand, six hundred seventy-two".