3012413040 has 480 divisors, whose sum is σ = 12999168000. Its totient is φ = 607647744.

The previous prime is 3012413021. The next prime is 3012413093. The reversal of 3012413040 is 403142103.

3012413040 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1505961 + ... + 1507959.

It is an arithmetic number, because the mean of its divisors is an integer number (27081600).

Almost surely, 2^3012413040 is an apocalyptic number.

3012413040 is a gapful number since it is divisible by the number (30) 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 3012413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584000).

3012413040 is an abundant number, since it is smaller than the sum of its proper divisors (9986754960).

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

3012413040 is a wasteful number, since it uses less digits than its factorization.

3012413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3012413040 is about 54885.4538106409. The cubic root of 3012413040 is about 1444.2360221214.

Adding to 3012413040 its reverse (403142103), we get a palindrome (3415555143).

The spelling of 3012413040 in words is "three billion, twelve million, four hundred thirteen thousand, forty".