2348452800 has 252 divisors, whose sum is σ = 8468203536. Its totient is φ = 617164800.

The previous prime is 2348452787. The next prime is 2348452823. The reversal of 2348452800 is 82548432.

2348452800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1021252 + ... + 1023548.

Almost surely, 2^2348452800 is an apocalyptic number.

2348452800 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 2348452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234101768).

2348452800 is an abundant number, since it is smaller than the sum of its proper divisors (6119750736).

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

2348452800 is a wasteful number, since it uses less digits than its factorization.

2348452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2348452800 is about 48460.8377971326. The cubic root of 2348452800 is about 1329.2110571527.

The spelling of 2348452800 in words is "two billion, three hundred forty-eight million, four hundred fifty-two thousand, eight hundred".