2681583360 has 72 divisors (see below), whose sum is σ = 8564319120. Its totient is φ = 715087872.

The previous prime is 2681583341. The next prime is 2681583361. The reversal of 2681583360 is 633851862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681583361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345325 + ... + 353004.

Almost surely, 2^2681583360 is an apocalyptic number.

2681583360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681583360 is an abundant number, since it is smaller than the sum of its proper divisors (5882735760).

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

2681583360 is an equidigital number, since it uses as much as digits as its factorization.

2681583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698353 (or 698339 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2681583360 is about 51784.0067974660. The cubic root of 2681583360 is about 1389.3034068075.

The spelling of 2681583360 in words is "two billion, six hundred eighty-one million, five hundred eighty-three thousand, three hundred sixty".