2355080416 has 144 divisors (see below), whose sum is σ = 5318015472. Its totient is φ = 1019934720.

The previous prime is 2355080383. The next prime is 2355080417. The reversal of 2355080416 is 6140805532.

2355080416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355080417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17190300 + ... + 17190436.

It is an arithmetic number, because the mean of its divisors is an integer number (36930663).

Almost surely, 2^2355080416 is an apocalyptic number.

2355080416 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 2355080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659007736).

2355080416 is an abundant number, since it is smaller than the sum of its proper divisors (2962935056).

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

2355080416 is a wasteful number, since it uses less digits than its factorization.

2355080416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 2355080416 is about 48529.1707738758. The cubic root of 2355080416 is about 1330.4602805111.

Adding to 2355080416 its reverse (6140805532), we get a palindrome (8495885948).

The spelling of 2355080416 in words is "two billion, three hundred fifty-five million, eighty thousand, four hundred sixteen".