2054590720 has 288 divisors, whose sum is σ = 6263470080. Its totient is φ = 628162560.

The previous prime is 2054590717. The next prime is 2054590757. The reversal of 2054590720 is 270954502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3610596 + ... + 3611164.

It is an arithmetic number, because the mean of its divisors is an integer number (21748160).

Almost surely, 2^2054590720 is an apocalyptic number.

2054590720 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 2054590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131735040).

2054590720 is an abundant number, since it is smaller than the sum of its proper divisors (4208879360).

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

2054590720 is a wasteful number, since it uses less digits than its factorization.

2054590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 2054590720 is about 45327.5933621012. The cubic root of 2054590720 is about 1271.2816375490.

The spelling of 2054590720 in words is "two billion, fifty-four million, five hundred ninety thousand, seven hundred twenty".