2516211648 has 224 divisors, whose sum is σ = 7849209600. Its totient is φ = 788216832.

The previous prime is 2516211647. The next prime is 2516211673. The reversal of 2516211648 is 8461126152.

It is a happy number.

2516211648 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 2 + 1 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (23040) is a multiple of the sum of its prime divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516211647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5679715 + ... + 5680157.

Almost surely, 2^2516211648 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 2516211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924604800).

2516211648 is an abundant number, since it is smaller than the sum of its proper divisors (5332997952).

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

2516211648 is a wasteful number, since it uses less digits than its factorization.

2516211648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2516211648 is about 50161.8545111721. The cubic root of 2516211648 is about 1360.1361686034.

The spelling of 2516211648 in words is "two billion, five hundred sixteen million, two hundred eleven thousand, six hundred forty-eight".