2978106560 has 224 divisors, whose sum is σ = 8406042624. Its totient is φ = 990720000.

The previous prime is 2978106473. The next prime is 2978106577. The reversal of 2978106560 is 656018792.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6909545 + ... + 6909975.

It is an arithmetic number, because the mean of its divisors is an integer number (37526976).

Almost surely, 2^2978106560 is an apocalyptic number.

2978106560 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 2978106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203021312).

2978106560 is an abundant number, since it is smaller than the sum of its proper divisors (5427936064).

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

2978106560 is a wasteful number, since it uses less digits than its factorization.

2978106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 2978106560 is about 54572.0309316045. The cubic root of 2978106560 is about 1438.7325782165.

The spelling of 2978106560 in words is "two billion, nine hundred seventy-eight million, one hundred six thousand, five hundred sixty".