2255687544 has 128 divisors (see below), whose sum is σ = 6345216000. Its totient is φ = 662355840.

The previous prime is 2255687531. The next prime is 2255687549. The reversal of 2255687544 is 4457865522.

2255687544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2255687493 and 2255687502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255687549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326807 + ... + 1328505.

It is an arithmetic number, because the mean of its divisors is an integer number (49572000).

Almost surely, 2^2255687544 is an apocalyptic number.

2255687544 is a gapful number since it is divisible by the number (24) 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 2255687544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172608000).

2255687544 is an abundant number, since it is smaller than the sum of its proper divisors (4089528456).

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

2255687544 is a wasteful number, since it uses less digits than its factorization.

2255687544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1869 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 48.

The square root of 2255687544 is about 47494.0790414974. The cubic root of 2255687544 is about 1311.4738852652.

The spelling of 2255687544 in words is "two billion, two hundred fifty-five million, six hundred eighty-seven thousand, five hundred forty-four".