2519165664 has 96 divisors (see below), whose sum is σ = 7518551040. Its totient is φ = 820181376.

The previous prime is 2519165611. The next prime is 2519165669. The reversal of 2519165664 is 4665619152.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2519165669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 71055.

It is an arithmetic number, because the mean of its divisors is an integer number (78318240).

Almost surely, 2^2519165664 is an apocalyptic number.

2519165664 is a gapful number since it is divisible by the number (24) 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 2519165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759275520).

2519165664 is an abundant number, since it is smaller than the sum of its proper divisors (4999385376).

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

2519165664 is a wasteful number, since it uses less digits than its factorization.

2519165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67869 (or 67855 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 2519165664 is about 50191.2907186097. The cubic root of 2519165664 is about 1360.6682241000.

The spelling of 2519165664 in words is "two billion, five hundred nineteen million, one hundred sixty-five thousand, six hundred sixty-four".