2056340416 has 112 divisors (see below), whose sum is σ = 4585163296. Its totient is φ = 908734464.

The previous prime is 2056340401. The next prime is 2056340437. The reversal of 2056340416 is 6140436502.

It is a super-3 number, since 3×2056340416³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2062030 + ... + 2063026.

It is an arithmetic number, because the mean of its divisors is an integer number (40938958).

Almost surely, 2^2056340416 is an apocalyptic number.

2056340416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292581648).

2056340416 is an abundant number, since it is smaller than the sum of its proper divisors (2528822880).

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

2056340416 is a wasteful number, since it uses less digits than its factorization.

2056340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2056340416 is about 45346.8898161715. The cubic root of 2056340416 is about 1271.6424109868.

Adding to 2056340416 its reverse (6140436502), we get a palindrome (8196776918).

The spelling of 2056340416 in words is "two billion, fifty-six million, three hundred forty thousand, four hundred sixteen".