2352455120 has 80 divisors (see below), whose sum is σ = 5567590080. Its totient is φ = 924244992.

The previous prime is 2352455107. The next prime is 2352455143. The reversal of 2352455120 is 215542532.

2352455120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2352455120² = 11068090183228428800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159547 + ... + 1161573.

It is an arithmetic number, because the mean of its divisors is an integer number (69594876).

Almost surely, 2^2352455120 is an apocalyptic number.

2352455120 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 2352455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783795040).

2352455120 is an abundant number, since it is smaller than the sum of its proper divisors (3215134960).

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

2352455120 is a wasteful number, since it uses less digits than its factorization.

2352455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 2352455120 is about 48502.1145930773. The cubic root of 2352455120 is about 1329.9657254627.

Adding to 2352455120 its reverse (215542532), we get a palindrome (2567997652).

The spelling of 2352455120 in words is "two billion, three hundred fifty-two million, four hundred fifty-five thousand, one hundred twenty".