2000084157 has 12 divisors (see below), whose sum is σ = 2996011200. Its totient is φ = 1333389276.

The previous prime is 2000084137. The next prime is 2000084189. The reversal of 2000084157 is 7514800002.

It is not a de Polignac number, because 2000084157 - 2⁸ = 2000083901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2000084157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000084137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4115157 + ... + 4115642.

It is an arithmetic number, because the mean of its divisors is an integer number (249667600).

Almost surely, 2^2000084157 is an apocalyptic number.

2000084157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2000084157 is a deficient number, since it is larger than the sum of its proper divisors (995927043).

2000084157 is an frugal number, since it uses more digits than its factorization.

2000084157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230814 (or 8230802 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2000084157 is about 44722.3004439620. The cubic root of 2000084157 is about 1259.9387215096.

Adding to 2000084157 its reverse (7514800002), we get a palindrome (9514884159).

The spelling of 2000084157 in words is "two billion, eighty-four thousand, one hundred fifty-seven".