2945180880 has 480 divisors, whose sum is σ = 10968048000. Its totient is φ = 705576960.

The previous prime is 2945180831. The next prime is 2945180911. The reversal of 2945180880 is 880815492.

It is a happy number.

It is a super-3 number, since 3×2945180880³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33091876 + ... + 33091964.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 2^2945180880 is an apocalyptic number.

2945180880 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 2945180880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024000).

2945180880 is an abundant number, since it is smaller than the sum of its proper divisors (8022867120).

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

2945180880 is a wasteful number, since it uses less digits than its factorization.

2945180880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2945180880 is about 54269.5207275686. The cubic root of 2945180880 is about 1433.4107509413.

The spelling of 2945180880 in words is "two billion, nine hundred forty-five million, one hundred eighty thousand, eight hundred eighty".