2353406416 has 40 divisors (see below), whose sum is σ = 4728141824. Its totient is φ = 1133585280.

The previous prime is 2353406387. The next prime is 2353406449. The reversal of 2353406416 is 6146043532.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99970 + ... + 121246.

Almost surely, 2^2353406416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2353406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364070912).

2353406416 is an abundant number, since it is smaller than the sum of its proper divisors (2374735408).

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

2353406416 is a wasteful number, since it uses less digits than its factorization.

2353406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539 (or 21533 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2353406416 is about 48511.9203495388. The cubic root of 2353406416 is about 1330.1449737384.

Adding to 2353406416 its reverse (6146043532), we get a palindrome (8499449948).

The spelling of 2353406416 in words is "two billion, three hundred fifty-three million, four hundred six thousand, four hundred sixteen".