2340374400 has 1152 divisors, whose sum is σ = 11049292800. Its totient is φ = 457850880.

The previous prime is 2340374363. The next prime is 2340374401. The reversal of 2340374400 is 44730432.

2340374400 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 (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340374401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49795177 + ... + 49795223.

It is an arithmetic number, because the mean of its divisors is an integer number (9591400).

Almost surely, 2^2340374400 is an apocalyptic number.

2340374400 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 2340374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524646400).

2340374400 is an abundant number, since it is smaller than the sum of its proper divisors (8708918400).

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

2340374400 is a wasteful number, since it uses less digits than its factorization.

2340374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2340374400 is about 48377.4162187275. The cubic root of 2340374400 is about 1327.6851965868.

The spelling of 2340374400 in words is "two billion, three hundred forty million, three hundred seventy-four thousand, four hundred".