2338964400 has 240 divisors, whose sum is σ = 7740647424. Its totient is φ = 603402240.

The previous prime is 2338964399. The next prime is 2338964413. The reversal of 2338964400 is 44698332.

It is a tau number, because it is divible by the number of its divisors (240).

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, 6373017 + ... + 6373383.

Almost surely, 2^2338964400 is an apocalyptic number.

2338964400 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 2338964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870323712).

2338964400 is an abundant number, since it is smaller than the sum of its proper divisors (5401683024).

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

2338964400 is a wasteful number, since it uses less digits than its factorization.

2338964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2338964400 is about 48362.8411076107. The cubic root of 2338964400 is about 1327.4185138714.

The spelling of 2338964400 in words is "two billion, three hundred thirty-eight million, nine hundred sixty-four thousand, four hundred".