2012342400 has 192 divisors, whose sum is σ = 7364930400. Its totient is φ = 536601600.

The previous prime is 2012342399. The next prime is 2012342407. The reversal of 2012342400 is 42432102.

2012342400 is a `hidden beast` number, since 201 + 23 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012342407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74755 + ... + 98045.

Almost surely, 2^2012342400 is an apocalyptic number.

2012342400 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 2012342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682465200).

2012342400 is an abundant number, since it is smaller than the sum of its proper divisors (5352588000).

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

2012342400 is a wasteful number, since it uses less digits than its factorization.

2012342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23324 (or 23301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2012342400 is about 44859.1395369996. The cubic root of 2012342400 is about 1262.5074783075.

Adding to 2012342400 its reverse (42432102), we get a palindrome (2054774502).

The spelling of 2012342400 in words is "two billion, twelve million, three hundred forty-two thousand, four hundred".