2255971680 has 288 divisors, whose sum is σ = 8044178688. Its totient is φ = 575078400.

The previous prime is 2255971661. The next prime is 2255971691. The reversal of 2255971680 is 861795522.

2255971680 is a `hidden beast` number, since 2 + 2 + 559 + 7 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4329820 + ... + 4330340.

It is an arithmetic number, because the mean of its divisors is an integer number (27931176).

Almost surely, 2^2255971680 is an apocalyptic number.

2255971680 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 2255971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022089344).

2255971680 is an abundant number, since it is smaller than the sum of its proper divisors (5788207008).

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

2255971680 is a wasteful number, since it uses less digits than its factorization.

2255971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2255971680 is about 47497.0702254360. The cubic root of 2255971680 is about 1311.5289492300.

The spelling of 2255971680 in words is "two billion, two hundred fifty-five million, nine hundred seventy-one thousand, six hundred eighty".