2086914624000 has 320 divisors, whose sum is σ = 6948282781440. Its totient is φ = 555723571200.

The previous prime is 2086914623977. The next prime is 2086914624007. The reversal of 2086914624000 is 4264196802.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2086914624000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2086914624007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142648686 + ... + 142663314.

It is an arithmetic number, because the mean of its divisors is an integer number (21713383692).

Almost surely, 2^{2086914624000} is an apocalyptic number.

2086914624000 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 2086914624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474141390720).

2086914624000 is an abundant number, since it is smaller than the sum of its proper divisors (4861368157440).

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

2086914624000 is an equidigital number, since it uses as much as digits as its factorization.

2086914624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15408 (or 15382 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2086914624000 in words is "two trillion, eighty-six billion, nine hundred fourteen million, six hundred twenty-four thousand".