2055261312 has 384 divisors, whose sum is σ = 6950361600. Its totient is φ = 577290240.

The previous prime is 2055261277. The next prime is 2055261319. The reversal of 2055261312 is 2131625502.

It is a happy number.

2055261312 is a `hidden beast` number, since 2 + 0 + 5 + 526 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2055261312² = 8448198121207922688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2055261319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8820748 + ... + 8820980.

It is an arithmetic number, because the mean of its divisors is an integer number (18099900).

Almost surely, 2^2055261312 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 2055261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475180800).

2055261312 is an abundant number, since it is smaller than the sum of its proper divisors (4895100288).

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

2055261312 is a wasteful number, since it uses less digits than its factorization.

2055261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2055261312 is about 45334.9899305161. The cubic root of 2055261312 is about 1271.4199324991.

Adding to 2055261312 its reverse (2131625502), we get a palindrome (4186886814).

The spelling of 2055261312 in words is "two billion, fifty-five million, two hundred sixty-one thousand, three hundred twelve".