2054737728 has 168 divisors, whose sum is σ = 6105265920. Its totient is φ = 660280320.

The previous prime is 2054737723. The next prime is 2054737787. The reversal of 2054737728 is 8277374502.

2054737728 is a `hidden beast` number, since 2 + 0 + 547 + 37 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054737721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921578 + ... + 1922646.

Almost surely, 2^2054737728 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 2054737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052632960).

2054737728 is an abundant number, since it is smaller than the sum of its proper divisors (4050528192).

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

2054737728 is a wasteful number, since it uses less digits than its factorization.

2054737728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 2054737728 is about 45329.2149501842. The cubic root of 2054737728 is about 1271.3119573125.

The spelling of 2054737728 in words is "two billion, fifty-four million, seven hundred thirty-seven thousand, seven hundred twenty-eight".