2086609140100 has 27 divisors (see below), whose sum is σ = 4527973180101. Its totient is φ = 834637878000.

The previous prime is 2086609140073. The next prime is 2086609140101. The reversal of 2086609140100 is 10419066802.

It is a happy number.

The square root of 2086609140100 is 1444510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 751179290436 + 1335429849664 = 866706^2 + 1155608^2 .

It is a super-2 number, since 2×2086609140100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2086609140100.

It is not an unprimeable number, because it can be changed into a prime (2086609140101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14372875 + ... + 14517325.

Almost surely, 2^{2086609140100} is an apocalyptic number.

2086609140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2086609140100 is the 1444510-th square number.

It is an amenable number.

2086609140100 is an abundant number, since it is smaller than the sum of its proper divisors (2441364040001).

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

2086609140100 is an frugal number, since it uses more digits than its factorization.

2086609140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288916 (or 144458 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 2086609140100 in words is "two trillion, eighty-six billion, six hundred nine million, one hundred forty thousand, one hundred".