2255057640 has 144 divisors (see below), whose sum is σ = 8055929700. Its totient is φ = 546670080.

The previous prime is 2255057569. The next prime is 2255057669. The reversal of 2255057640 is 467505522.

2255057640 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 0 + 5 + 7 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2251882116 + 3175524 = 47454^2 + 1782^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2255057595 and 2255057604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17676 + ... + 69444.

Almost surely, 2^2255057640 is an apocalyptic number.

2255057640 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 2255057640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027964850).

2255057640 is an abundant number, since it is smaller than the sum of its proper divisors (5800872060).

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

2255057640 is a wasteful number, since it uses less digits than its factorization.

2255057640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51808 (or 51790 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2255057640 is about 47487.4471834400. The cubic root of 2255057640 is about 1311.3517969087.

The spelling of 2255057640 in words is "two billion, two hundred fifty-five million, fifty-seven thousand, six hundred forty".