2683512832 has 432 divisors, whose sum is σ = 7823137140. Its totient is φ = 908328960.

The previous prime is 2683512829. The next prime is 2683512851. The reversal of 2683512832 is 2382153862.

It can be written as a sum of positive squares in 2 ways, for example, as 2677441536 + 6071296 = 51744^2 + 2464^2 .

It is a super-2 number, since 2×2683512832² = 14402482239017320448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157853688 + ... + 157853704.

Almost surely, 2^2683512832 is an apocalyptic number.

2683512832 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 2683512832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911568570).

2683512832 is an abundant number, since it is smaller than the sum of its proper divisors (5139624308).

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

2683512832 is a wasteful number, since it uses less digits than its factorization.

2683512832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 2683512832 is about 51802.6334465730. The cubic root of 2683512832 is about 1389.6365407553.

It can be divided in two parts, 2683 and 512832, that added together give a palindrome (515515).

The spelling of 2683512832 in words is "two billion, six hundred eighty-three million, five hundred twelve thousand, eight hundred thirty-two".