2577066820 has 24 divisors (see below), whose sum is σ = 5443129944. Its totient is φ = 1024866816.

The previous prime is 2577066799. The next prime is 2577066847. The reversal of 2577066820 is 286607752.

2577066820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 876988996 + 1700077824 = 29614^2 + 41232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368949 + ... + 375868.

It is an arithmetic number, because the mean of its divisors is an integer number (226797081).

Almost surely, 2^2577066820 is an apocalyptic number.

2577066820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2577066820 is an abundant number, since it is smaller than the sum of its proper divisors (2866063124).

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

2577066820 is a wasteful number, since it uses less digits than its factorization.

2577066820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744999 (or 744997 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 2577066820 is about 50764.8187232063. The cubic root of 2577066820 is about 1371.0140112203.

The spelling of 2577066820 in words is "two billion, five hundred seventy-seven million, sixty-six thousand, eight hundred twenty".