2353315440 has 480 divisors, whose sum is σ = 9165556224. Its totient is φ = 488816640.

The previous prime is 2353315421. The next prime is 2353315441. The reversal of 2353315440 is 445133532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2353315398 and 2353315407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353315441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17964175 + ... + 17964305.

Almost surely, 2^2353315440 is an apocalyptic number.

2353315440 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 2353315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582778112).

2353315440 is an abundant number, since it is smaller than the sum of its proper divisors (6812240784).

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

2353315440 is a wasteful number, since it uses less digits than its factorization.

2353315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2353315440 is about 48510.9826740296. The cubic root of 2353315440 is about 1330.1278336434.

Adding to 2353315440 its reverse (445133532), we get a palindrome (2798448972).

The spelling of 2353315440 in words is "two billion, three hundred fifty-three million, three hundred fifteen thousand, four hundred forty".