2978614116 has 72 divisors (see below), whose sum is σ = 7955292800. Its totient is φ = 937085760.

The previous prime is 2978614091. The next prime is 2978614117. The reversal of 2978614116 is 6114168792.

2978614116 is a `hidden beast` number, since 29 + 7 + 8 + 614 + 1 + 1 + 6 = 666.

It is a super-2 number, since 2×2978614116² = 17744284104068922912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2978614117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 177330 + ... + 193398.

Almost surely, 2^2978614116 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 2978614116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977646400).

2978614116 is an abundant number, since it is smaller than the sum of its proper divisors (4976678684).

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

2978614116 is a wasteful number, since it uses less digits than its factorization.

2978614116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16369 (or 16364 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2978614116 is about 54576.6810643520. The cubic root of 2978614116 is about 1438.8143075365.

The spelling of 2978614116 in words is "two billion, nine hundred seventy-eight million, six hundred fourteen thousand, one hundred sixteen".