2555115552 has 144 divisors (see below), whose sum is σ = 7952817600. Its totient is φ = 771724800.

The previous prime is 2555115547. The next prime is 2555115593.

2555115552 is a `hidden beast` number, since 2 + 5 + 551 + 1 + 55 + 52 = 666.

2555115552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 1104477 + ... + 1106787.

It is an arithmetic number, because the mean of its divisors is an integer number (55227900).

Almost surely, 2^2555115552 is an apocalyptic number.

2555115552 is a gapful number since it is divisible by the number (22) 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 2555115552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976408800).

2555115552 is an abundant number, since it is smaller than the sum of its proper divisors (5397702048).

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

2555115552 is a wasteful number, since it uses less digits than its factorization.

2555115552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2676 counting only the distinct ones).

The product of its digits is 62500, while the sum is 36.

The square root of 2555115552 is about 50548.1508267118. The cubic root of 2555115552 is about 1367.1101733568.

The spelling of 2555115552 in words is "two billion, five hundred fifty-five million, one hundred fifteen thousand, five hundred fifty-two".