2556416220 has 96 divisors (see below), whose sum is σ = 7339368960. Its totient is φ = 664500480.

The previous prime is 2556416189. The next prime is 2556416227. The reversal of 2556416220 is 226146552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556416227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2164030 + ... + 2165210.

It is an arithmetic number, because the mean of its divisors is an integer number (76451760).

Almost surely, 2^2556416220 is an apocalyptic number.

2556416220 is a gapful number since it is divisible by the number (20) 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 2556416220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669684480).

2556416220 is an abundant number, since it is smaller than the sum of its proper divisors (4782952740).

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

2556416220 is a wasteful number, since it uses less digits than its factorization.

2556416220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2556416220 is about 50561.0148236762. The cubic root of 2556416220 is about 1367.3421073971.

The spelling of 2556416220 in words is "two billion, five hundred fifty-six million, four hundred sixteen thousand, two hundred twenty".