2918220480 has 672 divisors, whose sum is σ = 12279660480. Its totient is φ = 650280960.

The previous prime is 2918220467. The next prime is 2918220491. The reversal of 2918220480 is 840228192.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25824904 + ... + 25825016.

Almost surely, 2^2918220480 is an apocalyptic number.

2918220480 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 2918220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139830240).

2918220480 is an abundant number, since it is smaller than the sum of its proper divisors (9361440000).

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

2918220480 is a wasteful number, since it uses less digits than its factorization.

2918220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2918220480 is about 54020.5560874747. The cubic root of 2918220480 is about 1429.0234877156.

The spelling of 2918220480 in words is "two billion, nine hundred eighteen million, two hundred twenty thousand, four hundred eighty".