2711466126440 has 64 divisors (see below), whose sum is σ = 6356455119360. Its totient is φ = 1039790396160.

The previous prime is 2711466126433. The next prime is 2711466126461. The reversal of 2711466126440 is 446216641172.

It is a junction number, because it is equal to n+sod(n) for n = 2711466126391 and 2711466126400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10085387 + ... + 10350746.

It is an arithmetic number, because the mean of its divisors is an integer number (99319611240).

Almost surely, 2^{2711466126440} is an apocalyptic number.

2711466126440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2711466126440 is an abundant number, since it is smaller than the sum of its proper divisors (3644988992920).

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

2711466126440 is a wasteful number, since it uses less digits than its factorization.

2711466126440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20436282 (or 20436278 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 2711466126440 in words is "two trillion, seven hundred eleven billion, four hundred sixty-six million, one hundred twenty-six thousand, four hundred forty".