2681059360 has 192 divisors, whose sum is σ = 7413202944. Its totient is φ = 897408000.

The previous prime is 2681059343. The next prime is 2681059361. The reversal of 2681059360 is 639501862.

2681059360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2681059361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14036865 + ... + 14037055.

It is an arithmetic number, because the mean of its divisors is an integer number (38610432).

Almost surely, 2^2681059360 is an apocalyptic number.

2681059360 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 2681059360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706601472).

2681059360 is an abundant number, since it is smaller than the sum of its proper divisors (4732143584).

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

2681059360 is a wasteful number, since it uses less digits than its factorization.

2681059360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 2681059360 is about 51778.9470731107. The cubic root of 2681059360 is about 1389.2129077365.

The spelling of 2681059360 in words is "two billion, six hundred eighty-one million, fifty-nine thousand, three hundred sixty".