2054977728 has 112 divisors (see below), whose sum is σ = 5595579360. Its totient is φ = 665190400.

The previous prime is 2054977709. The next prime is 2054977747. The reversal of 2054977728 is 8277794502.

It is an interprime number because it is at equal distance from previous prime (2054977709) and next prime (2054977747).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211568 + ... + 2212496.

It is an arithmetic number, because the mean of its divisors is an integer number (49960530).

Almost surely, 2^2054977728 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 2054977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797789680).

2054977728 is an abundant number, since it is smaller than the sum of its proper divisors (3540601632).

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

2054977728 is a wasteful number, since it uses less digits than its factorization.

2054977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 2054977728 is about 45331.8621722073. The cubic root of 2054977728 is about 1271.3614531657.

The spelling of 2054977728 in words is "two billion, fifty-four million, nine hundred seventy-seven thousand, seven hundred twenty-eight".