2077778560 has 256 divisors, whose sum is σ = 5934539520. Its totient is φ = 685670400.

The previous prime is 2077778543. The next prime is 2077778569. The reversal of 2077778560 is 658777702.

It is not an unprimeable number, because it can be changed into a prime (2077778569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6680805 + ... + 6681115.

It is an arithmetic number, because the mean of its divisors is an integer number (23181795).

Almost surely, 2^2077778560 is an apocalyptic number.

2077778560 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 2077778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967269760).

2077778560 is an abundant number, since it is smaller than the sum of its proper divisors (3856760960).

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

2077778560 is a wasteful number, since it uses less digits than its factorization.

2077778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 49.

The square root of 2077778560 is about 45582.6563508534. The cubic root of 2077778560 is about 1276.0462635912.

The spelling of 2077778560 in words is "two billion, seventy-seven million, seven hundred seventy-eight thousand, five hundred sixty".