2731445808 has 240 divisors, whose sum is σ = 8911617120. Its totient is φ = 714534912.

The previous prime is 2731445807. The next prime is 2731445839. The reversal of 2731445808 is 8085441372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2731445808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731445807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4800148 + ... + 4800716.

It is an arithmetic number, because the mean of its divisors is an integer number (37131738).

Almost surely, 2^2731445808 is an apocalyptic number.

2731445808 is a gapful number since it is divisible by the number (28) 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 2731445808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455808560).

2731445808 is an abundant number, since it is smaller than the sum of its proper divisors (6180171312).

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

2731445808 is a wasteful number, since it uses less digits than its factorization.

2731445808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2731445808 is about 52263.2357207244. The cubic root of 2731445808 is about 1397.8616689535.

The spelling of 2731445808 in words is "two billion, seven hundred thirty-one million, four hundred forty-five thousand, eight hundred eight".