2054635728 has 80 divisors (see below), whose sum is σ = 5400696000. Its totient is φ = 672998400.

The previous prime is 2054635727. The next prime is 2054635741. The reversal of 2054635728 is 8275364502.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2054635728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054635727) 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, 672348 + ... + 675396.

It is an arithmetic number, because the mean of its divisors is an integer number (67508700).

Almost surely, 2^2054635728 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 2054635728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700348000).

2054635728 is an abundant number, since it is smaller than the sum of its proper divisors (3346060272).

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

2054635728 is a wasteful number, since it uses less digits than its factorization.

2054635728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2054635728 is about 45328.0898340091. The cubic root of 2054635728 is about 1271.2909204078.

The spelling of 2054635728 in words is "two billion, fifty-four million, six hundred thirty-five thousand, seven hundred twenty-eight".