2686113239040 has 2080 divisors, whose sum is σ = 12721488493824. Its totient is φ = 524896174080.

The previous prime is 2686113239011. The next prime is 2686113239071. The reversal of 2686113239040 is 409323116862.

2686113239040 is a `hidden beast` number, since 2 + 6 + 8 + 611 + 3 + 23 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2171473302 + ... + 2171474538.

Almost surely, 2^{2686113239040} is an apocalyptic number.

2686113239040 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 2686113239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360744246912).

2686113239040 is an abundant number, since it is smaller than the sum of its proper divisors (10035375254784).

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

2686113239040 is a wasteful number, since it uses less digits than its factorization.

2686113239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2686113239040 in words is "two trillion, six hundred eighty-six billion, one hundred thirteen million, two hundred thirty-nine thousand, forty".