2999558480160 has 768 divisors, whose sum is σ = 11482190899200. Its totient is φ = 649558425600.

The previous prime is 2999558480147. The next prime is 2999558480161. The reversal of 2999558480160 is 610848559992.

It is a happy number.

It is a super-2 number, since 2×2999558480160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2999558480091 and 2999558480100.

It is not an unprimeable number, because it can be changed into a prime (2999558480161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153569595 + ... + 153589125.

It is an arithmetic number, because the mean of its divisors is an integer number (14950769400).

Almost surely, 2^{2999558480160} is an apocalyptic number.

2999558480160 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 2999558480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741095449600).

2999558480160 is an abundant number, since it is smaller than the sum of its proper divisors (8482632419040).

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

2999558480160 is a wasteful number, since it uses less digits than its factorization.

2999558480160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19665 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 66.

The spelling of 2999558480160 in words is "two trillion, nine hundred ninety-nine billion, five hundred fifty-eight million, four hundred eighty thousand, one hundred sixty".