2271657491334 has 840 divisors, whose sum is σ = 6801510816576. Its totient is φ = 567706708800.

The previous prime is 2271657491333. The next prime is 2271657491393. The reversal of 2271657491334 is 4331947561722.

2271657491334 is a `hidden beast` number, since 2 + 2 + 71 + 6 + 57 + 491 + 3 + 34 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271657491333) by changing a digit.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 13130968072 + ... + 13130968244.

Almost surely, 2^{2271657491334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271657491334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400755408288).

2271657491334 is an abundant number, since it is smaller than the sum of its proper divisors (4529853325242).

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

2271657491334 is an equidigital number, since it uses as much as digits as its factorization.

2271657491334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 227 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 2271657491334 in words is "two trillion, two hundred seventy-one billion, six hundred fifty-seven million, four hundred ninety-one thousand, three hundred thirty-four".