3008005254870 has 256 divisors, whose sum is σ = 9030674644992. Its totient is φ = 622953999360.

The previous prime is 3008005254829. The next prime is 3008005254871. The reversal of 3008005254870 is 784525008003.

It is a super-2 number, since 2×3008005254870² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3008005254871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1036169839 + ... + 1036172741.

It is an arithmetic number, because the mean of its divisors is an integer number (35276072832).

Almost surely, 2^{3008005254870} is an apocalyptic number.

3008005254870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008005254870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515337322496).

3008005254870 is an abundant number, since it is smaller than the sum of its proper divisors (6022669390122).

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

3008005254870 is a wasteful number, since it uses less digits than its factorization.

3008005254870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275.

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 3008005254870 in words is "three trillion, eight billion, five million, two hundred fifty-four thousand, eight hundred seventy".