2689085952 has 400 divisors, whose sum is σ = 9387702720. Its totient is φ = 750477312.

The previous prime is 2689085947. The next prime is 2689086013. The reversal of 2689085952 is 2595809862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17127858 + ... + 17128014.

Almost surely, 2^2689085952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693851360).

2689085952 is an abundant number, since it is smaller than the sum of its proper divisors (6698616768).

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

2689085952 is an equidigital number, since it uses as much as digits as its factorization.

2689085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 2689085952 is about 51856.3974066845. The cubic root of 2689085952 is about 1390.5978747136.

The spelling of 2689085952 in words is "two billion, six hundred eighty-nine million, eighty-five thousand, nine hundred fifty-two".