2123756416 has 32 divisors (see below), whose sum is σ = 4479803280. Its totient is φ = 999413760.

The previous prime is 2123756387. The next prime is 2123756423. The reversal of 2123756416 is 6146573212.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 485820 + ... + 490171.

Almost surely, 2^2123756416 is an apocalyptic number.

It is an amenable number.

2123756416 is an abundant number, since it is smaller than the sum of its proper divisors (2356046864).

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

2123756416 is an equidigital number, since it uses as much as digits as its factorization.

2123756416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976022 (or 976010 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 2123756416 is about 46084.2317501334. The cubic root of 2123756416 is about 1285.3899538694.

It can be divided in two parts, 212375 and 6416, that added together give a triangular number (218791 = T₆₆₁).

The spelling of 2123756416 in words is "two billion, one hundred twenty-three million, seven hundred fifty-six thousand, four hundred sixteen".