3142122240 has 288 divisors, whose sum is σ = 10737377280. Its totient is φ = 780337152.

The previous prime is 3142122233. The next prime is 3142122259. The reversal of 3142122240 is 422212413.

It is a super-2 number, since 2×3142122240² = 19745864342205235200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8290371 + ... + 8290749.

It is an arithmetic number, because the mean of its divisors is an integer number (37282560).

Almost surely, 2^3142122240 is an apocalyptic number.

3142122240 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 3142122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368688640).

3142122240 is an abundant number, since it is smaller than the sum of its proper divisors (7595255040).

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

3142122240 is a wasteful number, since it uses less digits than its factorization.

3142122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3142122240 is about 56054.6362043319. The cubic root of 3142122240 is about 1464.6741796202.

Adding to 3142122240 its reverse (422212413), we get a palindrome (3564334653).

The spelling of 3142122240 in words is "three billion, one hundred forty-two million, one hundred twenty-two thousand, two hundred forty".