2353056000 has 288 divisors, whose sum is σ = 7918030848. Its totient is φ = 619315200.

The previous prime is 2353055981. The next prime is 2353056047. The reversal of 2353056000 is 6503532.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12191904 + ... + 12192096.

Almost surely, 2^2353056000 is an apocalyptic number.

2353056000 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 2353056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959015424).

2353056000 is an abundant number, since it is smaller than the sum of its proper divisors (5564974848).

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

2353056000 is a wasteful number, since it uses less digits than its factorization.

2353056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2353056000 is about 48508.3085666775. The cubic root of 2353056000 is about 1330.0789521036.

Adding to 2353056000 its reverse (6503532), we get a palindrome (2359559532).

The spelling of 2353056000 in words is "two billion, three hundred fifty-three million, fifty-six thousand".