2355020096 has 168 divisors, whose sum is σ = 5604433800. Its totient is φ = 975237120.

The previous prime is 2355020089. The next prime is 2355020111. The reversal of 2355020096 is 6900205532.

It can be written as a sum of positive squares in 4 ways, for example, as 37945600 + 2317074496 = 6160^2 + 48136^2 .

It is a super-2 number, since 2×2355020096² = 11092239305127698432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15000050 + ... + 15000206.

It is an arithmetic number, because the mean of its divisors is an integer number (33359725).

Almost surely, 2^2355020096 is an apocalyptic number.

2355020096 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 2355020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802216900).

2355020096 is an abundant number, since it is smaller than the sum of its proper divisors (3249413704).

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

2355020096 is a wasteful number, since it uses less digits than its factorization.

2355020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 2355020096 is about 48528.5492880222. The cubic root of 2355020096 is about 1330.4489215148.

The spelling of 2355020096 in words is "two billion, three hundred fifty-five million, twenty thousand, ninety-six".