2086145192700 has 432 divisors, whose sum is σ = 7281613946880. Its totient is φ = 496863037440.

The previous prime is 2086145192669. The next prime is 2086145192743. The reversal of 2086145192700 is 72915416802.

2086145192700 is a `hidden beast` number, since 2 + 0 + 8 + 61 + 4 + 519 + 2 + 70 + 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 143 ways as a sum of consecutive naturals, for example, 44667961 + ... + 44714639.

It is an arithmetic number, because the mean of its divisors is an integer number (16855587840).

Almost surely, 2^{2086145192700} is an apocalyptic number.

2086145192700 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 2086145192700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640806973440).

2086145192700 is an abundant number, since it is smaller than the sum of its proper divisors (5195468754180).

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

2086145192700 is a wasteful number, since it uses less digits than its factorization.

2086145192700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46866 (or 46856 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2086145192700 in words is "two trillion, eighty-six billion, one hundred forty-five million, one hundred ninety-two thousand, seven hundred".