2731307040 has 1440 divisors, whose sum is σ = 13515030144. Its totient is φ = 510935040.

The previous prime is 2731307021. The next prime is 2731307041. The reversal of 2731307040 is 407031372.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2731306995 and 2731307013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731307041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118752469 + ... + 118752491.

Almost surely, 2^2731307040 is an apocalyptic number.

2731307040 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 2731307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757515072).

2731307040 is an abundant number, since it is smaller than the sum of its proper divisors (10783723104).

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

2731307040 is a wasteful number, since it uses less digits than its factorization.

2731307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2731307040 is about 52261.9081167154. The cubic root of 2731307040 is about 1397.8379962948.

The spelling of 2731307040 in words is "two billion, seven hundred thirty-one million, three hundred seven thousand, forty".