2412345200 has 60 divisors (see below), whose sum is σ = 5865567288. Its totient is φ = 953299200.

The previous prime is 2412345157. The next prime is 2412345209. The reversal of 2412345200 is 25432142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412345209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3131 + ... + 69530.

Almost surely, 2^2412345200 is an apocalyptic number.

2412345200 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 2412345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932783644).

2412345200 is an abundant number, since it is smaller than the sum of its proper divisors (3453222088).

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

2412345200 is a wasteful number, since it uses less digits than its factorization.

2412345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72762 (or 72751 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2412345200 is about 49115.6309131828. The cubic root of 2412345200 is about 1341.1576096027.

Adding to 2412345200 its reverse (25432142), we get a palindrome (2437777342).

The spelling of 2412345200 in words is "two billion, four hundred twelve million, three hundred forty-five thousand, two hundred".