2508947856 has 120 divisors (see below), whose sum is σ = 7489871064. Its totient is φ = 781271040.

The previous prime is 2508947827. The next prime is 2508947863. The reversal of 2508947856 is 6587498052.

It can be written as a sum of positive squares in 4 ways, for example, as 1268499456 + 1240448400 = 35616^2 + 35220^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331636 + ... + 339116.

Almost surely, 2^2508947856 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 2508947856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744935532).

2508947856 is an abundant number, since it is smaller than the sum of its proper divisors (4980923208).

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

2508947856 is a wasteful number, since it uses less digits than its factorization.

2508947856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 2508947856 is about 50089.3986388337. The cubic root of 2508947856 is about 1358.8260948602.

The spelling of 2508947856 in words is "two billion, five hundred eight million, nine hundred forty-seven thousand, eight hundred fifty-six".