2732631640 has 64 divisors (see below), whose sum is σ = 6267456000. Its totient is φ = 1071997440.

The previous prime is 2732631619. The next prime is 2732631677. The reversal of 2732631640 is 461362372.

It is a junction number, because it is equal to n+sod(n) for n = 2732631596 and 2732631605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947721 + ... + 950599.

It is an arithmetic number, because the mean of its divisors is an integer number (97929000).

Almost surely, 2^2732631640 is an apocalyptic number.

2732631640 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 2732631640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133728000).

2732631640 is an abundant number, since it is smaller than the sum of its proper divisors (3534824360).

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

2732631640 is a wasteful number, since it uses less digits than its factorization.

2732631640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 2732631640 is about 52274.5792905118. The cubic root of 2732631640 is about 1398.0639292693.

The spelling of 2732631640 in words is "two billion, seven hundred thirty-two million, six hundred thirty-one thousand, six hundred forty".