2681835120 has 120 divisors (see below), whose sum is σ = 9120696000. Its totient is φ = 706088448.

The previous prime is 2681835113. The next prime is 2681835127. The reversal of 2681835120 is 215381862.

It is a happy number.

2681835120 is a `hidden beast` number, since 2 + 68 + 1 + 83 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2681835113) and next prime (2681835127).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2681835120² = 14384479221730828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681835127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33306 + ... + 80454.

It is an arithmetic number, because the mean of its divisors is an integer number (76005800).

Almost surely, 2^2681835120 is an apocalyptic number.

2681835120 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 2681835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560348000).

2681835120 is an abundant number, since it is smaller than the sum of its proper divisors (6438860880).

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

2681835120 is a wasteful number, since it uses less digits than its factorization.

2681835120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47247 (or 47238 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2681835120 is about 51786.4376067711. The cubic root of 2681835120 is about 1389.3468836187.

The spelling of 2681835120 in words is "two billion, six hundred eighty-one million, eight hundred thirty-five thousand, one hundred twenty".