2506110480 has 120 divisors (see below), whose sum is σ = 8459131200. Its totient is φ = 664899840.

The previous prime is 2506110479. The next prime is 2506110499. The reversal of 2506110480 is 840116052.

2506110480 is a `hidden beast` number, since 2 + 5 + 0 + 611 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 134535 + ... + 152025.

It is an arithmetic number, because the mean of its divisors is an integer number (70492760).

Almost surely, 2^2506110480 is an apocalyptic number.

2506110480 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 2506110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229565600).

2506110480 is an abundant number, since it is smaller than the sum of its proper divisors (5953020720).

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

2506110480 is a wasteful number, since it uses less digits than its factorization.

2506110480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17709 (or 17700 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2506110480 is about 50061.0675075952. The cubic root of 2506110480 is about 1358.3136682597.

The spelling of 2506110480 in words is "two billion, five hundred six million, one hundred ten thousand, four hundred eighty".