2480171616 has 384 divisors, whose sum is σ = 8534937600. Its totient is φ = 693411840.

The previous prime is 2480171567. The next prime is 2480171621. The reversal of 2480171616 is 6161710842.

It is a happy number.

2480171616 is a `hidden beast` number, since 2 + 480 + 17 + 161 + 6 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5919055 + ... + 5919473.

It is an arithmetic number, because the mean of its divisors is an integer number (22226400).

Almost surely, 2^2480171616 is an apocalyptic number.

2480171616 is a gapful number since it is divisible by the number (26) 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 2480171616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267468800).

2480171616 is an abundant number, since it is smaller than the sum of its proper divisors (6054765984).

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

2480171616 is a wasteful number, since it uses less digits than its factorization.

2480171616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2480171616 is about 49801.3214282513. The cubic root of 2480171616 is about 1353.6111122774.

The spelling of 2480171616 in words is "two billion, four hundred eighty million, one hundred seventy-one thousand, six hundred sixteen".