2053341440 has 72 divisors (see below), whose sum is σ = 4926387480. Its totient is φ = 820002816.

The previous prime is 2053341431. The next prime is 2053341463. The reversal of 2053341440 is 441433502.

It can be written as a sum of positive squares in 4 ways, for example, as 1140818176 + 912523264 = 33776^2 + 30208^2 .

It is a super-2 number, since 2×2053341440² = 8432422138442547200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1275356 + ... + 1276964.

Almost surely, 2^2053341440 is an apocalyptic number.

2053341440 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 2053341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463193740).

2053341440 is an abundant number, since it is smaller than the sum of its proper divisors (2873046040).

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

2053341440 is an equidigital number, since it uses as much as digits as its factorization.

2053341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2053341440 is about 45313.8106982849. The cubic root of 2053341440 is about 1271.0239205720.

Adding to 2053341440 its reverse (441433502), we get a palindrome (2494774942).

The spelling of 2053341440 in words is "two billion, fifty-three million, three hundred forty-one thousand, four hundred forty".