2503050480 has 240 divisors, whose sum is σ = 9659542464. Its totient is φ = 568995840.

The previous prime is 2503050479. The next prime is 2503050497. The reversal of 2503050480 is 840503052.

2503050480 is a `hidden beast` number, since 2 + 50 + 30 + 504 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 991620 + ... + 994140.

Almost surely, 2^2503050480 is an apocalyptic number.

2503050480 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 2503050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829771232).

2503050480 is an abundant number, since it is smaller than the sum of its proper divisors (7156491984).

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

2503050480 is a wasteful number, since it uses less digits than its factorization.

2503050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2503050480 is about 50030.4955002446. The cubic root of 2503050480 is about 1357.7606023701.

The spelling of 2503050480 in words is "two billion, five hundred three million, fifty thousand, four hundred eighty".