2231257680 has 120 divisors (see below), whose sum is σ = 7751769480. Its totient is φ = 574479360.

The previous prime is 2231257673. The next prime is 2231257681. The reversal of 2231257680 is 867521322.

2231257680 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 2 + 576 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 287505936 + 1943751744 = 16956^2 + 44088^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2231257680³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231257681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32551 + ... + 74310.

It is an arithmetic number, because the mean of its divisors is an integer number (64598079).

Almost surely, 2^2231257680 is an apocalyptic number.

2231257680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231257680 is an abundant number, since it is smaller than the sum of its proper divisors (5520511800).

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

2231257680 is a wasteful number, since it uses less digits than its factorization.

2231257680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106909 (or 106900 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2231257680 is about 47236.1903628987. The cubic root of 2231257680 is about 1306.7221197948.

The spelling of 2231257680 in words is "two billion, two hundred thirty-one million, two hundred fifty-seven thousand, six hundred eighty".