2077217680 has 40 divisors (see below), whose sum is σ = 4840371000. Its totient is φ = 829022208.

The previous prime is 2077217647. The next prime is 2077217707. The reversal of 2077217680 is 867127702.

It can be written as a sum of positive squares in 4 ways, for example, as 295702416 + 1781515264 = 17196^2 + 42208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7006 + ... + 64834.

It is an arithmetic number, because the mean of its divisors is an integer number (121009275).

Almost surely, 2^2077217680 is an apocalyptic number.

2077217680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2077217680 is an abundant number, since it is smaller than the sum of its proper divisors (2763153320).

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

2077217680 is a wasteful number, since it uses less digits than its factorization.

2077217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58291 (or 58285 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 2077217680 is about 45576.5035956029. The cubic root of 2077217680 is about 1275.9314337032.

The spelling of 2077217680 in words is "two billion, seventy-seven million, two hundred seventeen thousand, six hundred eighty".