2467142272 has 64 divisors (see below), whose sum is σ = 5947611840. Its totient is φ = 995143680.

The previous prime is 2467142261. The next prime is 2467142287. The reversal of 2467142272 is 2722417642.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2467142272³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65754 + ... + 96217.

It is an arithmetic number, because the mean of its divisors is an integer number (92931435).

Almost surely, 2^2467142272 is an apocalyptic number.

It is an amenable number.

2467142272 is an abundant number, since it is smaller than the sum of its proper divisors (3480469568).

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

2467142272 is a wasteful number, since it uses less digits than its factorization.

2467142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162009 (or 161997 counting only the distinct ones).

The product of its digits is 75264, while the sum is 37.

The square root of 2467142272 is about 49670.3359360494. The cubic root of 2467142272 is about 1351.2365938716.

The spelling of 2467142272 in words is "two billion, four hundred sixty-seven million, one hundred forty-two thousand, two hundred seventy-two".