2348006400 has 528 divisors, whose sum is σ = 8934745600. Its totient is φ = 603832320.

The previous prime is 2348006369. The next prime is 2348006413. The reversal of 2348006400 is 46008432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29721561 + ... + 29721639.

Almost surely, 2^2348006400 is an apocalyptic number.

2348006400 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 2348006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467372800).

2348006400 is an abundant number, since it is smaller than the sum of its proper divisors (6586739200).

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

2348006400 is a wasteful number, since it uses less digits than its factorization.

2348006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2348006400 is about 48456.2317973653. The cubic root of 2348006400 is about 1329.1268318540.

The spelling of 2348006400 in words is "two billion, three hundred forty-eight million, six thousand, four hundred".