2077882560 has 672 divisors, whose sum is σ = 8520744960. Its totient is φ = 459841536.

The previous prime is 2077882553. The next prime is 2077882561. The reversal of 2077882560 is 652887702.

2077882560 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 8 + 82 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2077882561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16361217 + ... + 16361343.

It is an arithmetic number, because the mean of its divisors is an integer number (12679680).

Almost surely, 2^2077882560 is an apocalyptic number.

2077882560 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 2077882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260372480).

2077882560 is an abundant number, since it is smaller than the sum of its proper divisors (6442862400).

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

2077882560 is a wasteful number, since it uses less digits than its factorization.

2077882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2077882560 is about 45583.7971213457. The cubic root of 2077882560 is about 1276.0675534117.

The spelling of 2077882560 in words is "two billion, seventy-seven million, eight hundred eighty-two thousand, five hundred sixty".