2519638416 has 135 divisors (see below), whose sum is σ = 7286573281. Its totient is φ = 812773632.

The previous prime is 2519638409. The next prime is 2519638439. The reversal of 2519638416 is 6148369152.

The square root of 2519638416 is 50196.

It is a perfect power (a square), and thus also a powerful number.

2519638416 is a `hidden beast` number, since 2 + 5 + 1 + 9 + 638 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 483824016 + 2035814400 = 21996^2 + 45120^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 28310500 + ... + 28310588.

Almost surely, 2^2519638416 is an apocalyptic number.

2519638416 is the 50196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2519638416

2519638416 is an abundant number, since it is smaller than the sum of its proper divisors (4766934865).

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

2519638416 is an equidigital number, since it uses as much as digits as its factorization.

2519638416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 141 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 2519638416 is about 1360.7533340763.

The spelling of 2519638416 in words is "two billion, five hundred nineteen million, six hundred thirty-eight thousand, four hundred sixteen".