2027686100 has 72 divisors (see below), whose sum is σ = 4847877216. Its totient is φ = 730000000.

The previous prime is 2027686097. The next prime is 2027686103. The reversal of 2027686100 is 16867202.

It is an interprime number because it is at equal distance from previous prime (2027686097) and next prime (2027686103).

It is a super-2 number, since 2×2027686100² = 8223021840266420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027686103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101975 + ... + 120225.

It is an arithmetic number, because the mean of its divisors is an integer number (67331628).

Almost surely, 2^2027686100 is an apocalyptic number.

2027686100 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 2027686100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423938608).

2027686100 is an abundant number, since it is smaller than the sum of its proper divisors (2820191116).

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

2027686100 is a wasteful number, since it uses less digits than its factorization.

2027686100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18377 (or 18370 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2027686100 is about 45029.8356648123. The cubic root of 2027686100 is about 1265.7081444946.

The spelling of 2027686100 in words is "two billion, twenty-seven million, six hundred eighty-six thousand, one hundred".