2519484960 has 48 divisors (see below), whose sum is σ = 7936379136. Its totient is φ = 671862528.

The previous prime is 2519484953. The next prime is 2519484967. The reversal of 2519484960 is 694849152.

It is an interprime number because it is at equal distance from previous prime (2519484953) and next prime (2519484967).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2519484967) 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 7 ways as a sum of consecutive naturals, for example, 2623984 + ... + 2624943.

It is an arithmetic number, because the mean of its divisors is an integer number (165341232).

Almost surely, 2^2519484960 is an apocalyptic number.

2519484960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2519484960 is an abundant number, since it is smaller than the sum of its proper divisors (5416894176).

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

2519484960 is a wasteful number, since it uses less digits than its factorization.

2519484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248945 (or 5248937 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2519484960 is about 50194.4714087119. The cubic root of 2519484960 is about 1360.7257084189.

The spelling of 2519484960 in words is "two billion, five hundred nineteen million, four hundred eighty-four thousand, nine hundred sixty".