2731431164 has 48 divisors (see below), whose sum is σ = 6006497280. Its totient is φ = 1055799360.

The previous prime is 2731431151. The next prime is 2731431167. The reversal of 2731431164 is 4611341372.

It is a super-3 number, since 3×2731431164³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2731431164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731431167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4202 + ... + 74030.

It is an arithmetic number, because the mean of its divisors is an integer number (125135360).

Almost surely, 2^2731431164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731431164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003248640).

2731431164 is an abundant number, since it is smaller than the sum of its proper divisors (3275066116).

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

2731431164 is a wasteful number, since it uses less digits than its factorization.

2731431164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69978 (or 69976 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 2731431164 is about 52263.0956220544. The cubic root of 2731431164 is about 1397.8591708476.

The spelling of 2731431164 in words is "two billion, seven hundred thirty-one million, four hundred thirty-one thousand, one hundred sixty-four".