2348400 has 120 divisors (see below), whose sum is σ = 7995520. Its totient is φ = 587520.

The previous prime is 2348383. The next prime is 2348429. The reversal of 2348400 is 48432.

It is a happy number.

2348400 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 (120).

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 23 ways as a sum of consecutive naturals, for example, 22749 + ... + 22851.

2^2348400 is an apocalyptic number.

2348400 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 2348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997760).

2348400 is an abundant number, since it is smaller than the sum of its proper divisors (5647120).

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

2348400 is a wasteful number, since it uses less digits than its factorization.

2348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2348400 is about 1532.4490203592. The cubic root of 2348400 is about 132.9201095577.

Subtracting from 2348400 its reverse (48432), we obtain a cube (2299968 = 132³).

The spelling of 2348400 in words is "two million, three hundred forty-eight thousand, four hundred".