2524480416 has 72 divisors (see below), whose sum is σ = 7601299524. Its totient is φ = 791992320.

The previous prime is 2524480367. The next prime is 2524480451. The reversal of 2524480416 is 6140844252.

It can be written as a sum of positive squares in 2 ways, for example, as 2510010000 + 14470416 = 50100^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 252915 + ... + 262706.

Almost surely, 2^2524480416 is an apocalyptic number.

It is an amenable number.

2524480416 is an abundant number, since it is smaller than the sum of its proper divisors (5076819108).

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

2524480416 is a wasteful number, since it uses less digits than its factorization.

2524480416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515654 (or 515643 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2524480416 is about 50244.2077855746. The cubic root of 2524480416 is about 1361.6244314988.

The spelling of 2524480416 in words is "two billion, five hundred twenty-four million, four hundred eighty thousand, four hundred sixteen".