3005261280 has 288 divisors, whose sum is σ = 11773315008. Its totient is φ = 683827200.

The previous prime is 3005261267. The next prime is 3005261291. The reversal of 3005261280 is 821625003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3005261280² = 18063190722134476800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831950 + ... + 2833010.

It is an arithmetic number, because the mean of its divisors is an integer number (40879566).

Almost surely, 2^3005261280 is an apocalyptic number.

3005261280 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 3005261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886657504).

3005261280 is an abundant number, since it is smaller than the sum of its proper divisors (8768053728).

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

3005261280 is a wasteful number, since it uses less digits than its factorization.

3005261280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3005261280 is about 54820.2634068827. The cubic root of 3005261280 is about 1443.0921977792.

Adding to 3005261280 its reverse (821625003), we get a palindrome (3826886283).

The spelling of 3005261280 in words is "three billion, five million, two hundred sixty-one thousand, two hundred eighty".