2671707881304 has 384 divisors, whose sum is σ = 9644257728000. Its totient is φ = 670019454720.

The previous prime is 2671707881287. The next prime is 2671707881321. The reversal of 2671707881304 is 4031887071762.

2671707881304 is a `hidden beast` number, since 26 + 7 + 170 + 78 + 81 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (2671707881287) and next prime (2671707881321).

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5053827 + ... + 5557389.

It is an arithmetic number, because the mean of its divisors is an integer number (25115254500).

Almost surely, 2^{2671707881304} is an apocalyptic number.

2671707881304 is a gapful number since it is divisible by the number (24) 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 2671707881304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822128864000).

2671707881304 is an abundant number, since it is smaller than the sum of its proper divisors (6972549846696).

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

2671707881304 is a wasteful number, since it uses less digits than its factorization.

2671707881304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503636 (or 503615 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 2671707881304 in words is "two trillion, six hundred seventy-one billion, seven hundred seven million, eight hundred eighty-one thousand, three hundred four".