2412113040 has 240 divisors, whose sum is σ = 8689443840. Its totient is φ = 614972160.

The previous prime is 2412113003. The next prime is 2412113089. The reversal of 2412113040 is 403112142.

2412113040 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 (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141585 + ... + 1143695.

It is an arithmetic number, because the mean of its divisors is an integer number (36206016).

Almost surely, 2^2412113040 is an apocalyptic number.

2412113040 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 2412113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344721920).

2412113040 is an abundant number, since it is smaller than the sum of its proper divisors (6277330800).

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

2412113040 is a wasteful number, since it uses less digits than its factorization.

2412113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2412113040 is about 49113.2674539172. The cubic root of 2412113040 is about 1341.1145846465.

Adding to 2412113040 its reverse (403112142), we get a palindrome (2815225182).

The spelling of 2412113040 in words is "two billion, four hundred twelve million, one hundred thirteen thousand, forty".