2121892096 has 27 divisors (see below), whose sum is σ = 4236967231. Its totient is φ = 1060577536.

The previous prime is 2121892081. The next prime is 2121892099. The reversal of 2121892096 is 6902981212.

2121892096 = 321² + 322² + ... + 1856².

The square root of 2121892096 is 46064.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121892099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 735585 + ... + 738463.

Almost surely, 2^2121892096 is an apocalyptic number.

2121892096 is the 46064-th square number.

It is an amenable number.

2121892096 is a deficient number, since it is larger than the sum of its proper divisors (2115075135).

2121892096 is an frugal number, since it uses more digits than its factorization.

2121892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The cubic root of 2121892096 is about 1285.0137211816.

The spelling of 2121892096 in words is "two billion, one hundred twenty-one million, eight hundred ninety-two thousand, ninety-six".