2978546760 has 96 divisors (see below), whose sum is σ = 11063183040. Its totient is φ = 680810112.

The previous prime is 2978546749. The next prime is 2978546777. The reversal of 2978546760 is 676458792.

2978546760 is a `hidden beast` number, since 2 + 97 + 8 + 546 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2978546697 and 2978546706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588462 + ... + 593501.

It is an arithmetic number, because the mean of its divisors is an integer number (115241490).

Almost surely, 2^2978546760 is an apocalyptic number.

2978546760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2978546760 is an abundant number, since it is smaller than the sum of its proper divisors (8084636280).

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

2978546760 is a wasteful number, since it uses less digits than its factorization.

2978546760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181987 (or 1181980 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2978546760 is about 54576.0639841314. The cubic root of 2978546760 is about 1438.8034620557.

The spelling of 2978546760 in words is "two billion, nine hundred seventy-eight million, five hundred forty-six thousand, seven hundred sixty".