2506087472 has 80 divisors (see below), whose sum is σ = 5697373440. Its totient is φ = 1045529856.

The previous prime is 2506087469. The next prime is 2506087477. The reversal of 2506087472 is 2747806052.

It is a super-3 number, since 3×2506087472³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2506087477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1824578 + ... + 1825950.

It is an arithmetic number, because the mean of its divisors is an integer number (71217168).

Almost surely, 2^2506087472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506087472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848686720).

2506087472 is an abundant number, since it is smaller than the sum of its proper divisors (3191285968).

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

2506087472 is a wasteful number, since it uses less digits than its factorization.

2506087472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 2506087472 is about 50060.8377077332. The cubic root of 2506087472 is about 1358.3095114628.

The spelling of 2506087472 in words is "two billion, five hundred six million, eighty-seven thousand, four hundred seventy-two".