2671495442496 has 280 divisors, whose sum is σ = 7981455557504. Its totient is φ = 883511608320.

The previous prime is 2671495442479. The next prime is 2671495442501. The reversal of 2671495442496 is 6942445941762.

2671495442496 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 49 + 544 + 2 + 49 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 558537321 + ... + 558542103.

Almost surely, 2^{2671495442496} 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 2671495442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990727778752).

2671495442496 is an abundant number, since it is smaller than the sum of its proper divisors (5309960115008).

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

2671495442496 is a wasteful number, since it uses less digits than its factorization.

2671495442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5612 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 2671495442496 in words is "two trillion, six hundred seventy-one billion, four hundred ninety-five million, four hundred forty-two thousand, four hundred ninety-six".