2503327680 has 672 divisors, whose sum is σ = 10542300480. Its totient is φ = 564350976.

The previous prime is 2503327621. The next prime is 2503327703. The reversal of 2503327680 is 867233052.

2503327680 is a `hidden beast` number, since 2 + 503 + 3 + 2 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34292124 + ... + 34292196.

Almost surely, 2^2503327680 is an apocalyptic number.

2503327680 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 2503327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271150240).

2503327680 is an abundant number, since it is smaller than the sum of its proper divisors (8038972800).

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

2503327680 is an frugal number, since it uses more digits than its factorization.

2503327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2503327680 is about 50033.2657339095. The cubic root of 2503327680 is about 1357.8107221938.

The spelling of 2503327680 in words is "two billion, five hundred three million, three hundred twenty-seven thousand, six hundred eighty".