2555416100 has 72 divisors (see below), whose sum is σ = 5773750248. Its totient is φ = 980812800.

The previous prime is 2555416099. The next prime is 2555416109. The reversal of 2555416100 is 16145552.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 50013184 + 2505402916 = 7072^2 + 50054^2 .

It is not an unprimeable number, because it can be changed into a prime (2555416109) 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 23 ways as a sum of consecutive naturals, for example, 265370 + ... + 274830.

Almost surely, 2^2555416100 is an apocalyptic number.

2555416100 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 2555416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886875124).

2555416100 is an abundant number, since it is smaller than the sum of its proper divisors (3218334148).

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

2555416100 is a wasteful number, since it uses less digits than its factorization.

2555416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 2555416100 is about 50551.1236274724. The cubic root of 2555416100 is about 1367.1637738185.

The spelling of 2555416100 in words is "two billion, five hundred fifty-five million, four hundred sixteen thousand, one hundred".