2156749416 has 128 divisors (see below), whose sum is σ = 6117724800. Its totient is φ = 712670400.

The previous prime is 2156749411. The next prime is 2156749447. The reversal of 2156749416 is 6149476512.

2156749416 is a `hidden beast` number, since 2 + 1 + 567 + 49 + 41 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2156749411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2291506 + ... + 2292446.

It is an arithmetic number, because the mean of its divisors is an integer number (47794725).

Almost surely, 2^2156749416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156749416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058862400).

2156749416 is an abundant number, since it is smaller than the sum of its proper divisors (3960975384).

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

2156749416 is an equidigital number, since it uses as much as digits as its factorization.

2156749416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1077 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2156749416 is about 46440.8162718960. The cubic root of 2156749416 is about 1292.0120467139.

The spelling of 2156749416 in words is "two billion, one hundred fifty-six million, seven hundred forty-nine thousand, four hundred sixteen".