3001122540 has 288 divisors, whose sum is σ = 10666131840. Its totient is φ = 676159488.

The previous prime is 3001122539. The next prime is 3001122569. The reversal of 3001122540 is 452211003.

3001122540 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 122 + 540 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1470841 + ... + 1472879.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^3001122540 is an apocalyptic number.

3001122540 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 3001122540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333065920).

3001122540 is an abundant number, since it is smaller than the sum of its proper divisors (7665009300).

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

3001122540 is a wasteful number, since it uses less digits than its factorization.

3001122540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3001122540 is about 54782.5021334367. The cubic root of 3001122540 is about 1442.4294348568.

Adding to 3001122540 its reverse (452211003), we get a palindrome (3453333543).

The spelling of 3001122540 in words is "three billion, one million, one hundred twenty-two thousand, five hundred forty".