2731339440 has 240 divisors, whose sum is σ = 9607197600. Its totient is φ = 721115136.

The previous prime is 2731339427. The next prime is 2731339463. The reversal of 2731339440 is 449331372.

2731339440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2731339395 and 2731339404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2118316 + ... + 2119604.

It is an arithmetic number, because the mean of its divisors is an integer number (40029990).

Almost surely, 2^2731339440 is an apocalyptic number.

2731339440 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 2731339440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803598800).

2731339440 is an abundant number, since it is smaller than the sum of its proper divisors (6875858160).

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

2731339440 is a wasteful number, since it uses less digits than its factorization.

2731339440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2731339440 is about 52262.2180929972. The cubic root of 2731339440 is about 1397.8435235353.

The spelling of 2731339440 in words is "two billion, seven hundred thirty-one million, three hundred thirty-nine thousand, four hundred forty".