2689769000 has 64 divisors (see below), whose sum is σ = 6309997200. Its totient is φ = 1073184000.

The previous prime is 2689768997. The next prime is 2689769003. The reversal of 2689769000 is 9679862.

It is an interprime number because it is at equal distance from previous prime (2689768997) and next prime (2689769003).

It can be written as a sum of positive squares in 8 ways, for example, as 721781956 + 1967987044 = 26866^2 + 44362^2 .

It is a super-2 number, since 2×2689769000² = 14469714546722000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2689769003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417806 + ... + 424194.

Almost surely, 2^2689769000 is an apocalyptic number.

2689769000 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 2689769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154998600).

2689769000 is an abundant number, since it is smaller than the sum of its proper divisors (3620228200).

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

2689769000 is a wasteful number, since it uses less digits than its factorization.

2689769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6831 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 2689769000 is about 51862.9829454496. The cubic root of 2689769000 is about 1390.7156055092.

The spelling of 2689769000 in words is "two billion, six hundred eighty-nine million, seven hundred sixty-nine thousand".