3012001040 has 80 divisors (see below), whose sum is σ = 7220631600. Its totient is φ = 1167728640.

The previous prime is 3012001001. The next prime is 3012001073. The reversal of 3012001040 is 401002103.

It is a happy number.

3012001040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 802248976 + 2209752064 = 28324^2 + 47008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3012001040² = 18144300529922163200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512036 + ... + 517884.

It is an arithmetic number, because the mean of its divisors is an integer number (90257895).

Almost surely, 2^3012001040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610315800).

3012001040 is an abundant number, since it is smaller than the sum of its proper divisors (4208630560).

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

3012001040 is a wasteful number, since it uses less digits than its factorization.

3012001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6060 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3012001040 is about 54881.7004109749. The cubic root of 3012001040 is about 1444.1701776349.

Adding to 3012001040 its reverse (401002103), we get a palindrome (3413003143).

The spelling of 3012001040 in words is "three billion, twelve million, one thousand, forty".