2086956743040 has 384 divisors, whose sum is σ = 7780929811200. Its totient is φ = 512384679936.

The previous prime is 2086956742999. The next prime is 2086956743059. The reversal of 2086956743040 is 403476596802.

2086956743040 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 9 + 567 + 4 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29092497 + ... + 29164143.

It is an arithmetic number, because the mean of its divisors is an integer number (20262838050).

Almost surely, 2^{2086956743040} is an apocalyptic number.

2086956743040 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 2086956743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890464905600).

2086956743040 is an abundant number, since it is smaller than the sum of its proper divisors (5693973068160).

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

2086956743040 is a wasteful number, since it uses less digits than its factorization.

2086956743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72074 (or 72059 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2086956743040 in words is "two trillion, eighty-six billion, nine hundred fifty-six million, seven hundred forty-three thousand, forty".