2412150400 has 384 divisors, whose sum is σ = 7171416000. Its totient is φ = 791347200.

The previous prime is 2412150397. The next prime is 2412150407. The reversal of 2412150400 is 40512142.

2412150400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412150407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17353531 + ... + 17353669.

Almost surely, 2^2412150400 is an apocalyptic number.

2412150400 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 2412150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585708000).

2412150400 is an abundant number, since it is smaller than the sum of its proper divisors (4759265600).

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

2412150400 is a wasteful number, since it uses less digits than its factorization.

2412150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2412150400 is about 49113.6477977354. The cubic root of 2412150400 is about 1341.1215085594.

Adding to 2412150400 its reverse (40512142), we get a palindrome (2452662542).

The spelling of 2412150400 in words is "two billion, four hundred twelve million, one hundred fifty thousand, four hundred".