2475509020160 has 160 divisors (see below), whose sum is σ = 6503544317952. Its totient is φ = 896217210880.

The previous prime is 2475509020139. The next prime is 2475509020219. The reversal of 2475509020160 is 610209055742.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2475509020160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6198689 + ... + 6585951.

Almost surely, 2^{2475509020160} is an apocalyptic number.

2475509020160 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 2475509020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251772158976).

2475509020160 is an abundant number, since it is smaller than the sum of its proper divisors (4028035297792).

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

2475509020160 is a wasteful number, since it uses less digits than its factorization.

2475509020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387524 (or 387508 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 2475509020160 in words is "two trillion, four hundred seventy-five billion, five hundred nine million, twenty thousand, one hundred sixty".