2348800 has 54 divisors (see below), whose sum is σ = 5829488. Its totient is φ = 936960.

The previous prime is 2348791. The next prime is 2348807. The reversal of 2348800 is 88432.

It is a super-2 number, since 2×2348800² = 11033722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6217 + ... + 6583.

2^2348800 is an apocalyptic number.

2348800 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 2348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914744).

2348800 is an abundant number, since it is smaller than the sum of its proper divisors (3480688).

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

2348800 is an equidigital number, since it uses as much as digits as its factorization.

2348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2348800 is about 1532.5795248534. The cubic root of 2348800 is about 132.9276558340.

The spelling of 2348800 in words is "two million, three hundred forty-eight thousand, eight hundred".