2355298560 has 180 divisors, whose sum is σ = 8428059948. Its totient is φ = 628051968.

The previous prime is 2355298559. The next prime is 2355298567. The reversal of 2355298560 is 658925532.

2355298560 is a `hidden beast` number, since 2 + 3 + 552 + 98 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 821166336 + 1534132224 = 28656^2 + 39168^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2355298567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92322 + ... + 115038.

Almost surely, 2^2355298560 is an apocalyptic number.

2355298560 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 2355298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214029974).

2355298560 is an abundant number, since it is smaller than the sum of its proper divisors (6072761388).

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

2355298560 is an equidigital number, since it uses as much as digits as its factorization.

2355298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22750 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 2355298560 is about 48531.4182772356. The cubic root of 2355298560 is about 1330.5013580847.

The spelling of 2355298560 in words is "two billion, three hundred fifty-five million, two hundred ninety-eight thousand, five hundred sixty".