2508089472 has 384 divisors, whose sum is σ = 8690073600. Its totient is φ = 679311360.

The previous prime is 2508089461. The next prime is 2508089473. The reversal of 2508089472 is 2749808052.

2508089472 is a `hidden beast` number, since 25 + 0 + 80 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508089473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19748673 + ... + 19748799.

It is an arithmetic number, because the mean of its divisors is an integer number (22630400).

Almost surely, 2^2508089472 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 2508089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345036800).

2508089472 is an abundant number, since it is smaller than the sum of its proper divisors (6181984128).

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

2508089472 is a wasteful number, since it uses less digits than its factorization.

2508089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2508089472 is about 50080.8293861034. The cubic root of 2508089472 is about 1358.6711125476.

The spelling of 2508089472 in words is "two billion, five hundred eight million, eighty-nine thousand, four hundred seventy-two".