2053331280 has 1080 divisors, whose sum is σ = 9752016456. Its totient is φ = 383201280.

The previous prime is 2053331263. The next prime is 2053331297. The reversal of 2053331280 is 821333502.

2053331280 is a `hidden beast` number, since 2 + 0 + 53 + 331 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (2053331263) and next prime (2053331297).

It can be written as a sum of positive squares in 4 ways, for example, as 246741264 + 1806590016 = 15708^2 + 42504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55495422 + ... + 55495458.

Almost surely, 2^2053331280 is an apocalyptic number.

2053331280 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 2053331280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876008228).

2053331280 is an abundant number, since it is smaller than the sum of its proper divisors (7698685176).

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

2053331280 is a wasteful number, since it uses less digits than its factorization.

2053331280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2053331280 is about 45313.6985910442. The cubic root of 2053331280 is about 1271.0218242127.

Adding to 2053331280 its reverse (821333502), we get a palindrome (2874664782).

It can be divided in two parts, 2053 and 331280, that added together give a palindrome (333333).

The spelling of 2053331280 in words is "two billion, fifty-three million, three hundred thirty-one thousand, two hundred eighty".