2508485760 has 640 divisors, whose sum is σ = 10076996160. Its totient is φ = 589455360.

The previous prime is 2508485747. The next prime is 2508485767. The reversal of 2508485760 is 675848052.

2508485760 is a `hidden beast` number, since 2 + 508 + 4 + 85 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508485767) 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 79 ways as a sum of consecutive naturals, for example, 30222679 + ... + 30222761.

Almost surely, 2^2508485760 is an apocalyptic number.

2508485760 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 2508485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038498080).

2508485760 is an abundant number, since it is smaller than the sum of its proper divisors (7568510400).

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

2508485760 is a wasteful number, since it uses less digits than its factorization.

2508485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2508485760 is about 50084.7857138273. The cubic root of 2508485760 is about 1358.7426672387.

The spelling of 2508485760 in words is "two billion, five hundred eight million, four hundred eighty-five thousand, seven hundred sixty".