2353948560 has 160 divisors (see below), whose sum is σ = 8387856000. Its totient is φ = 606057984.

The previous prime is 2353948559. The next prime is 2353948561. The reversal of 2353948560 is 658493532.

2353948560 is a `hidden beast` number, since 23 + 539 + 48 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2353948559) and next prime (2353948561).

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 (2353948561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43851 + ... + 81429.

It is an arithmetic number, because the mean of its divisors is an integer number (52424100).

Almost surely, 2^2353948560 is an apocalyptic number.

2353948560 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 2353948560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193928000).

2353948560 is an abundant number, since it is smaller than the sum of its proper divisors (6033907440).

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

2353948560 is a wasteful number, since it uses less digits than its factorization.

2353948560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37630 (or 37618 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2353948560 is about 48517.5077678151. The cubic root of 2353948560 is about 1330.2471058003.

The spelling of 2353948560 in words is "two billion, three hundred fifty-three million, nine hundred forty-eight thousand, five hundred sixty".