2512467072 has 80 divisors (see below), whose sum is σ = 7477092150. Its totient is φ = 837485568.

The previous prime is 2512467053. The next prime is 2512467101. The reversal of 2512467072 is 2707642152.

It is a happy number.

2512467072 is a `hidden beast` number, since 2 + 512 + 4 + 6 + 70 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2170069056 + 342398016 = 46584^2 + 18504^2 .

It is a super-3 number, since 3×2512467072³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 110797 + ... + 131532.

Almost surely, 2^2512467072 is an apocalyptic number.

It is an amenable number.

2512467072 is an abundant number, since it is smaller than the sum of its proper divisors (4964625078).

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

2512467072 is an equidigital number, since it uses as much as digits as its factorization.

2512467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242355 (or 242334 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2512467072 is about 50124.5156784582. The cubic root of 2512467072 is about 1359.4611244554.

The spelling of 2512467072 in words is "two billion, five hundred twelve million, four hundred sixty-seven thousand, seventy-two".