2508267216 has 160 divisors (see below), whose sum is σ = 8395018240. Its totient is φ = 626683392.

The previous prime is 2508267187. The next prime is 2508267233. The reversal of 2508267216 is 6127628052.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67881 + ... + 98103.

It is an arithmetic number, because the mean of its divisors is an integer number (52468864).

Almost surely, 2^2508267216 is an apocalyptic number.

2508267216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2508267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197509120).

2508267216 is an abundant number, since it is smaller than the sum of its proper divisors (5886751024).

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

2508267216 is a wasteful number, since it uses less digits than its factorization.

2508267216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30273 (or 30267 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2508267216 is about 50082.6039259142. The cubic root of 2508267216 is about 1358.7032073534.

The spelling of 2508267216 in words is "two billion, five hundred eight million, two hundred sixty-seven thousand, two hundred sixteen".