2629689984 has 192 divisors, whose sum is σ = 8011692000. Its totient is φ = 825624576.

The previous prime is 2629689973. The next prime is 2629689989. The reversal of 2629689984 is 4899869262.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2629689989) 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, 6938307 + ... + 6938685.

Almost surely, 2^2629689984 is an apocalyptic number.

2629689984 is a gapful number since it is divisible by the number (24) 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 2629689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005846000).

2629689984 is an abundant number, since it is smaller than the sum of its proper divisors (5382002016).

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

2629689984 is a wasteful number, since it uses less digits than its factorization.

2629689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 2629689984 is about 51280.5029616520. The cubic root of 2629689984 is about 1380.2831429101.

The spelling of 2629689984 in words is "two billion, six hundred twenty-nine million, six hundred eighty-nine thousand, nine hundred eighty-four".