2000695680 has 128 divisors (see below), whose sum is σ = 7085858400. Its totient is φ = 533514240.

The previous prime is 2000695679. The next prime is 2000695681. The reversal of 2000695680 is 865960002.

It is an interprime number because it is at equal distance from previous prime (2000695679) and next prime (2000695681).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000695681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40611 + ... + 75170.

Almost surely, 2^2000695680 is an apocalyptic number.

2000695680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000695680 is an abundant number, since it is smaller than the sum of its proper divisors (5085162720).

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

2000695680 is a wasteful number, since it uses less digits than its factorization.

2000695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115809 (or 115791 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2000695680 is about 44729.1368125968. The cubic root of 2000695680 is about 1260.0671166062.

The spelling of 2000695680 in words is "two billion, six hundred ninety-five thousand, six hundred eighty".