2508687072 has 96 divisors (see below), whose sum is σ = 7343753760. Its totient is φ = 833172480.

The previous prime is 2508687043. The next prime is 2508687089. The reversal of 2508687072 is 2707868052.

2508687072 is a `hidden beast` number, since 2 + 508 + 6 + 8 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237618 + ... + 247950.

It is an arithmetic number, because the mean of its divisors is an integer number (76497435).

Almost surely, 2^2508687072 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 2508687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671876880).

2508687072 is an abundant number, since it is smaller than the sum of its proper divisors (4835066688).

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

2508687072 is a wasteful number, since it uses less digits than its factorization.

2508687072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10633 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2508687072 is about 50086.7953856104. The cubic root of 2508687072 is about 1358.7790137193.

The spelling of 2508687072 in words is "two billion, five hundred eight million, six hundred eighty-seven thousand, seventy-two".