3130314240 has 160 divisors (see below), whose sum is σ = 10062882720. Its totient is φ = 830111744.

The previous prime is 3130314221. The next prime is 3130314251. The reversal of 3130314240 is 424130313.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3130314240² = 19597734482293555200, 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 15 ways as a sum of consecutive naturals, for example, 1511926 + ... + 1513994.

It is an arithmetic number, because the mean of its divisors is an integer number (62893017).

Almost surely, 2^3130314240 is an apocalyptic number.

3130314240 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 3130314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031441360).

3130314240 is an abundant number, since it is smaller than the sum of its proper divisors (6932568480).

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

3130314240 is a wasteful number, since it uses less digits than its factorization.

3130314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3130314240 is about 55949.2112544940. The cubic root of 3130314240 is about 1462.8371428162.

Adding to 3130314240 its reverse (424130313), we get a palindrome (3554444553).

The spelling of 3130314240 in words is "three billion, one hundred thirty million, three hundred fourteen thousand, two hundred forty".