2978082072 has 128 divisors (see below), whose sum is σ = 9518400000. Its totient is φ = 845106048.

The previous prime is 2978082013. The next prime is 2978082131. The reversal of 2978082072 is 2702808792.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2978082013) and next prime (2978082131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218679 + ... + 231897.

It is an arithmetic number, because the mean of its divisors is an integer number (74362500).

Almost surely, 2^2978082072 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 2978082072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759200000).

2978082072 is an abundant number, since it is smaller than the sum of its proper divisors (6540317928).

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

2978082072 is a wasteful number, since it uses less digits than its factorization.

2978082072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13390 (or 13380 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2978082072 is about 54571.8065671277. The cubic root of 2978082072 is about 1438.7286347960.

The spelling of 2978082072 in words is "two billion, nine hundred seventy-eight million, eighty-two thousand, seventy-two".