2988456240 has 640 divisors, whose sum is σ = 12342067200. Its totient is φ = 579870720.

The previous prime is 2988456193. The next prime is 2988456241. The reversal of 2988456240 is 426548892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2988456240.

It is not an unprimeable number, because it can be changed into a prime (2988456241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33578116 + ... + 33578204.

It is an arithmetic number, because the mean of its divisors is an integer number (19284480).

Almost surely, 2^2988456240 is an apocalyptic number.

2988456240 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 2988456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171033600).

2988456240 is an abundant number, since it is smaller than the sum of its proper divisors (9353610960).

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

2988456240 is a wasteful number, since it uses less digits than its factorization.

2988456240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2988456240 is about 54666.7745527391. The cubic root of 2988456240 is about 1440.3973054942.

The spelling of 2988456240 in words is "two billion, nine hundred eighty-eight million, four hundred fifty-six thousand, two hundred forty".