2255791680 has 280 divisors, whose sum is σ = 8303712120. Its totient is φ = 580608000.

The previous prime is 2255791673. The next prime is 2255791697. The reversal of 2255791680 is 861975522.

2255791680 is a `hidden beast` number, since 2 + 2 + 557 + 9 + 16 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 269485056 + 1986306624 = 16416^2 + 44568^2 .

It is a super-2 number, since 2×2255791680² = 10177192207114444800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 750180 + ... + 753180.

Almost surely, 2^2255791680 is an apocalyptic number.

2255791680 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 2255791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151856060).

2255791680 is an abundant number, since it is smaller than the sum of its proper divisors (6047920440).

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

2255791680 is a wasteful number, since it uses less digits than its factorization.

2255791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3040 counting only the distinct ones).

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

The square root of 2255791680 is about 47495.1753339221. The cubic root of 2255791680 is about 1311.4940667753.

The spelling of 2255791680 in words is "two billion, two hundred fifty-five million, seven hundred ninety-one thousand, six hundred eighty".