2681282880 has 168 divisors, whose sum is σ = 9252520992. Its totient is φ = 712682496.

The previous prime is 2681282867. The next prime is 2681282893. The reversal of 2681282880 is 882821862.

It is an interprime number because it is at equal distance from previous prime (2681282867) and next prime (2681282893).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 998019 + ... + 1000701.

Almost surely, 2^2681282880 is an apocalyptic number.

2681282880 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 2681282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626260496).

2681282880 is an abundant number, since it is smaller than the sum of its proper divisors (6571238112).

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

2681282880 is a wasteful number, since it uses less digits than its factorization.

2681282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 2681282880 is about 51781.1054343184. The cubic root of 2681282880 is about 1389.2515129044.

The spelling of 2681282880 in words is "two billion, six hundred eighty-one million, two hundred eighty-two thousand, eight hundred eighty".