2988126720 has 320 divisors, whose sum is σ = 11242851840. Its totient is φ = 749666304.

The previous prime is 2988126677. The next prime is 2988126727. The reversal of 2988126720 is 276218892.

2988126720 is a `hidden beast` number, since 298 + 81 + 267 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (2988126727) 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 31 ways as a sum of consecutive naturals, for example, 1173769 + ... + 1176311.

It is an arithmetic number, because the mean of its divisors is an integer number (35133912).

Almost surely, 2^2988126720 is an apocalyptic number.

2988126720 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 2988126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621425920).

2988126720 is an abundant number, since it is smaller than the sum of its proper divisors (8254725120).

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

2988126720 is a wasteful number, since it uses less digits than its factorization.

2988126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2988126720 is about 54663.7605731622. The cubic root of 2988126720 is about 1440.3443620870.

The spelling of 2988126720 in words is "two billion, nine hundred eighty-eight million, one hundred twenty-six thousand, seven hundred twenty".