2261488680 has 512 divisors, whose sum is σ = 8895744000. Its totient is φ = 505128960.

The previous prime is 2261488673. The next prime is 2261488687. The reversal of 2261488680 is 868841622.

2261488680 is a `hidden beast` number, since 22 + 614 + 8 + 8 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2261488673) and next prime (2261488687).

It is a super-2 number, since 2×2261488680² = 10228662099536284800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2261488687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9705844 + ... + 9706076.

It is an arithmetic number, because the mean of its divisors is an integer number (17374500).

Almost surely, 2^2261488680 is an apocalyptic number.

2261488680 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 2261488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447872000).

2261488680 is an abundant number, since it is smaller than the sum of its proper divisors (6634255320).

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

2261488680 is a wasteful number, since it uses less digits than its factorization.

2261488680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2261488680 is about 47555.1120280459. The cubic root of 2261488680 is about 1312.5971976998.

The spelling of 2261488680 in words is "two billion, two hundred sixty-one million, four hundred eighty-eight thousand, six hundred eighty".