2988007680 has 288 divisors, whose sum is σ = 11037600000. Its totient is φ = 674758656.

The previous prime is 2988007679. The next prime is 2988007681. The reversal of 2988007680 is 867008892.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2988007679) and next prime (2988007681).

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

It is not an unprimeable number, because it can be changed into a prime (2988007681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391696 + ... + 2392944.

It is an arithmetic number, because the mean of its divisors is an integer number (38325000).

Almost surely, 2^2988007680 is an apocalyptic number.

2988007680 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 2988007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518800000).

2988007680 is an abundant number, since it is smaller than the sum of its proper divisors (8049592320).

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

2988007680 is a wasteful number, since it uses less digits than its factorization.

2988007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 2988007680 is about 54662.6717239470. The cubic root of 2988007680 is about 1440.3252351796.

The spelling of 2988007680 in words is "two billion, nine hundred eighty-eight million, seven thousand, six hundred eighty".