2711397888 has 480 divisors, whose sum is σ = 9056087040. Its totient is φ = 806215680.

The previous prime is 2711397817. The next prime is 2711397961. The reversal of 2711397888 is 8887931172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 73281006 + ... + 73281042.

It is an arithmetic number, because the mean of its divisors is an integer number (18866848).

Almost surely, 2^2711397888 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 2711397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528043520).

2711397888 is an abundant number, since it is smaller than the sum of its proper divisors (6344689152).

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

2711397888 is an equidigital number, since it uses as much as digits as its factorization.

2711397888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 2711397888 is about 52071.0849512472. The cubic root of 2711397888 is about 1394.4333182188.

The spelling of 2711397888 in words is "two billion, seven hundred eleven million, three hundred ninety-seven thousand, eight hundred eighty-eight".