2521216248 has 128 divisors (see below), whose sum is σ = 6888499200. Its totient is φ = 766281600.

The previous prime is 2521216241. The next prime is 2521216249. The reversal of 2521216248 is 8426121252.

2521216248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521216241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391263 + ... + 1393073.

It is an arithmetic number, because the mean of its divisors is an integer number (53816400).

Almost surely, 2^2521216248 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 2521216248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444249600).

2521216248 is an abundant number, since it is smaller than the sum of its proper divisors (4367282952).

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

2521216248 is a wasteful number, since it uses less digits than its factorization.

2521216248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 2521216248 is about 50211.7142507603. The cubic root of 2521216248 is about 1361.0373155831.

The spelling of 2521216248 in words is "two billion, five hundred twenty-one million, two hundred sixteen thousand, two hundred forty-eight".