2981738628 has 180 divisors, whose sum is σ = 9021092080. Its totient is φ = 855787680.

The previous prime is 2981738603. The next prime is 2981738629. The reversal of 2981738628 is 8268371892.

It is a happy number.

2981738628 is a `hidden beast` number, since 2 + 9 + 8 + 1 + 7 + 3 + 8 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2981738629) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 742875 + ... + 746877.

Almost surely, 2^2981738628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981738628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510546040).

2981738628 is an abundant number, since it is smaller than the sum of its proper divisors (6039353452).

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

2981738628 is a wasteful number, since it uses less digits than its factorization.

2981738628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4038 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2981738628 is about 54605.2985341166. The cubic root of 2981738628 is about 1439.3172284004.

The spelling of 2981738628 in words is "two billion, nine hundred eighty-one million, seven hundred thirty-eight thousand, six hundred twenty-eight".