2681029120 has 480 divisors, whose sum is σ = 8564719680. Its totient is φ = 794787840.

The previous prime is 2681029111. The next prime is 2681029159. The reversal of 2681029120 is 219201862.

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 47 ways as a sum of consecutive naturals, for example, 40015327 + ... + 40015393.

It is an arithmetic number, because the mean of its divisors is an integer number (17843166).

Almost surely, 2^2681029120 is an apocalyptic number.

2681029120 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 2681029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282359840).

2681029120 is an abundant number, since it is smaller than the sum of its proper divisors (5883690560).

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

2681029120 is a wasteful number, since it uses less digits than its factorization.

2681029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 2681029120 is about 51778.6550617144. The cubic root of 2681029120 is about 1389.2076846822.

The spelling of 2681029120 in words is "two billion, six hundred eighty-one million, twenty-nine thousand, one hundred twenty".