2519304960 has 144 divisors (see below), whose sum is σ = 8065983744. Its totient is φ = 670150656.

The previous prime is 2519304937. The next prime is 2519304967. The reversal of 2519304960 is 694039152.

It is a super-5 number, since 5×2519304960⁵ (a number of 48 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (2519304967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852679 + ... + 2853561.

It is an arithmetic number, because the mean of its divisors is an integer number (56013776).

Almost surely, 2^2519304960 is an apocalyptic number.

2519304960 is a gapful number since it is divisible by the number (20) 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 2519304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032991872).

2519304960 is an abundant number, since it is smaller than the sum of its proper divisors (5546678784).

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

2519304960 is an equidigital number, since it uses as much as digits as its factorization.

2519304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 2519304960 is about 50192.6783505324. The cubic root of 2519304960 is about 1360.6933027931.

The spelling of 2519304960 in words is "two billion, five hundred nineteen million, three hundred four thousand, nine hundred sixty".