2412043920 has 800 divisors, whose sum is σ = 10435582080. Its totient is φ = 507617280.

The previous prime is 2412043897. The next prime is 2412043927. The reversal of 2412043920 is 293402142.

2412043920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412043927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17606092 + ... + 17606228.

Almost surely, 2^2412043920 is an apocalyptic number.

2412043920 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 2412043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217791040).

2412043920 is an abundant number, since it is smaller than the sum of its proper divisors (8023538160).

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

2412043920 is a wasteful number, since it uses less digits than its factorization.

2412043920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2412043920 is about 49112.5637693656. The cubic root of 2412043920 is about 1341.1017744777.

The spelling of 2412043920 in words is "two billion, four hundred twelve million, forty-three thousand, nine hundred twenty".