2480501760 has 352 divisors, whose sum is σ = 8850114432. Its totient is φ = 587857920.

The previous prime is 2480501731. The next prime is 2480501783. The reversal of 2480501760 is 671050842.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 8954742 + ... + 8955018.

Almost surely, 2^2480501760 is an apocalyptic number.

2480501760 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 2480501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425057216).

2480501760 is an abundant number, since it is smaller than the sum of its proper divisors (6369612672).

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

2480501760 is a wasteful number, since it uses less digits than its factorization.

2480501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2480501760 is about 49804.6359287968. The cubic root of 2480501760 is about 1353.6711708578.

The spelling of 2480501760 in words is "two billion, four hundred eighty million, five hundred one thousand, seven hundred sixty".