2049163620100 has 81 divisors (see below), whose sum is σ = 4472083505533. Its totient is φ = 815010242560.

The previous prime is 2049163619929. The next prime is 2049163620103. The reversal of 2049163620100 is 10263619402.

It is a happy number.

The square root of 2049163620100 is 1431490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 954947201796 + 1094216418304 = 977214^2 + 1046048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2049163620103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3678929022 + ... + 3678929578.

Almost surely, 2^{2049163620100} is an apocalyptic number.

2049163620100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2049163620100 is the 1431490-th square number.

It is an amenable number.

2049163620100 is an abundant number, since it is smaller than the sum of its proper divisors (2422919885433).

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

2049163620100 is an frugal number, since it uses more digits than its factorization.

2049163620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 2049163620100 in words is "two trillion, forty-nine billion, one hundred sixty-three million, six hundred twenty thousand, one hundred".