2711827940640 has 576 divisors, whose sum is σ = 10726528208256. Its totient is φ = 570816626688.

The previous prime is 2711827940621. The next prime is 2711827940687. The reversal of 2711827940640 is 460497281172.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132383839 + ... + 132404321.

It is an arithmetic number, because the mean of its divisors is an integer number (18622444806).

Almost surely, 2^{2711827940640} is an apocalyptic number.

2711827940640 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 2711827940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363264104128).

2711827940640 is an abundant number, since it is smaller than the sum of its proper divisors (8014700267616).

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

2711827940640 is a wasteful number, since it uses less digits than its factorization.

2711827940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20961 (or 20946 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 2711827940640 in words is "two trillion, seven hundred eleven billion, eight hundred twenty-seven million, nine hundred forty thousand, six hundred forty".