2978072880 has 80 divisors (see below), whose sum is σ = 9257455104. Its totient is φ = 791965440.

The previous prime is 2978072879. The next prime is 2978072897. The reversal of 2978072880 is 882708792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71175 + ... + 104985.

Almost surely, 2^2978072880 is an apocalyptic number.

2978072880 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 2978072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628727552).

2978072880 is an abundant number, since it is smaller than the sum of its proper divisors (6279382224).

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

2978072880 is a wasteful number, since it uses less digits than its factorization.

2978072880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34194 (or 34188 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 2978072880 is about 54571.7223477508. The cubic root of 2978072880 is about 1438.7271545584.

The spelling of 2978072880 in words is "two billion, nine hundred seventy-eight million, seventy-two thousand, eight hundred eighty".