2684633952 has 432 divisors, whose sum is σ = 9715349952. Its totient is φ = 641571840.

The previous prime is 2684633933. The next prime is 2684633953. The reversal of 2684633952 is 2593364862.

It is a super-2 number, since 2×2684633952² = 14414518912462276608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684633953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8744583 + ... + 8744889.

It is an arithmetic number, because the mean of its divisors is an integer number (22489236).

Almost surely, 2^2684633952 is an apocalyptic number.

2684633952 is a gapful number since it is divisible by the number (22) 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 2684633952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857674976).

2684633952 is an abundant number, since it is smaller than the sum of its proper divisors (7030716000).

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

2684633952 is a wasteful number, since it uses less digits than its factorization.

2684633952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 343 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 2684633952 is about 51813.4533880922. The cubic root of 2684633952 is about 1389.8300349432.

It can be divided in two parts, 2684 and 633952, that added together give a palindrome (636636).

The spelling of 2684633952 in words is "two billion, six hundred eighty-four million, six hundred thirty-three thousand, nine hundred fifty-two".