2681559936 has 192 divisors, whose sum is σ = 8709433200. Its totient is φ = 784465920.

The previous prime is 2681559919. The next prime is 2681559983. The reversal of 2681559936 is 6399551862.

It is a happy number.

2681559936 is a `hidden beast` number, since 2 + 6 + 8 + 15 + 599 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 363840 + ... + 371136.

Almost surely, 2^2681559936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681559936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354716600).

2681559936 is an abundant number, since it is smaller than the sum of its proper divisors (6027873264).

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

2681559936 is a wasteful number, since it uses less digits than its factorization.

2681559936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7342 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 2681559936 is about 51783.7806267561. The cubic root of 2681559936 is about 1389.2993615436.

The spelling of 2681559936 in words is "two billion, six hundred eighty-one million, five hundred fifty-nine thousand, nine hundred thirty-six".