2112149991 has 24 divisors (see below), whose sum is σ = 3396837504. Its totient is φ = 1143415440.

The previous prime is 2112149983. The next prime is 2112149993. The reversal of 2112149991 is 1999412112.

It is not a de Polignac number, because 2112149991 - 2³ = 2112149983 is a prime.

It is a super-2 number, since 2×2112149991² = 8922355168962600162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112149993) 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, 131725 + ... + 146886.

It is an arithmetic number, because the mean of its divisors is an integer number (141534896).

Almost surely, 2^2112149991 is an apocalyptic number.

2112149991 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2112149991 is a deficient number, since it is larger than the sum of its proper divisors (1284687513).

2112149991 is a wasteful number, since it uses less digits than its factorization.

2112149991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278659 (or 278640 counting only the distinct ones).

The product of its digits is 11664, while the sum is 39.

The square root of 2112149991 is about 45958.1330234378. The cubic root of 2112149991 is about 1283.0441038350.

The spelling of 2112149991 in words is "two billion, one hundred twelve million, one hundred forty-nine thousand, nine hundred ninety-one".