2054782080 has 320 divisors, whose sum is σ = 7905051000. Its totient is φ = 505626624.

The previous prime is 2054782057. The next prime is 2054782109. The reversal of 2054782080 is 802874502.

It is a happy number.

2054782080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 825297984 + 1229484096 = 28728^2 + 35064^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 672396 + ... + 675444.

Almost surely, 2^2054782080 is an apocalyptic number.

2054782080 is a gapful number since it is divisible by the number (20) 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 2054782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952525500).

2054782080 is an abundant number, since it is smaller than the sum of its proper divisors (5850268920).

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

2054782080 is a wasteful number, since it uses less digits than its factorization.

2054782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2054782080 is about 45329.7041684589. The cubic root of 2054782080 is about 1271.3211044365.

The spelling of 2054782080 in words is "two billion, fifty-four million, seven hundred eighty-two thousand, eighty".