2689281000 has 896 divisors, whose sum is σ = 11785512960. Its totient is φ = 559872000.

The previous prime is 2689280999. The next prime is 2689281019. The reversal of 2689281000 is 1829862.

It is a super-2 number, since 2×2689281000² = 14464464593922000000, 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 an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 86750985 + ... + 86751015.

Almost surely, 2^2689281000 is an apocalyptic number.

2689281000 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 2689281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892756480).

2689281000 is an abundant number, since it is smaller than the sum of its proper divisors (9096231960).

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

2689281000 is a wasteful number, since it uses less digits than its factorization.

2689281000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2689281000 is about 51858.2780277170. The cubic root of 2689281000 is about 1390.6314954037.

The spelling of 2689281000 in words is "two billion, six hundred eighty-nine million, two hundred eighty-one thousand".