2334822400 has 117 divisors (see below), whose sum is σ = 5828248713. Its totient is φ = 927744000.

The previous prime is 2334822389. The next prime is 2334822403. The reversal of 2334822400 is 42284332.

The square root of 2334822400 is 48320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 840536064 + 1494286336 = 28992^2 + 38656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2334822403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15462325 + ... + 15462475.

Almost surely, 2^2334822400 is an apocalyptic number.

2334822400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2334822400 is the 48320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334822400

2334822400 is an abundant number, since it is smaller than the sum of its proper divisors (3493426313).

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

2334822400 is an frugal number, since it uses more digits than its factorization.

2334822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The cubic root of 2334822400 is about 1326.6344893699.

Multiplying 2334822400 by its product of nonzero digits (9216), we get a square (21517723238400 = 4638720²).

The spelling of 2334822400 in words is "two billion, three hundred thirty-four million, eight hundred twenty-two thousand, four hundred".