2067761000 has 64 divisors (see below), whose sum is σ = 5123224080. Its totient is φ = 778444800.

The previous prime is 2067760997. The next prime is 2067761029. The reversal of 2067761000 is 1677602.

It can be written as a sum of positive squares in 8 ways, for example, as 765850276 + 1301910724 = 27674^2 + 36082^2 .

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 15 ways as a sum of consecutive naturals, for example, 43817 + ... + 77816.

Almost surely, 2^2067761000 is an apocalyptic number.

2067761000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2067761000 is an abundant number, since it is smaller than the sum of its proper divisors (3055463080).

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

2067761000 is a wasteful number, since it uses less digits than its factorization.

2067761000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121671 (or 121657 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 2067761000 is about 45472.6401256844. The cubic root of 2067761000 is about 1273.9922319861.

The spelling of 2067761000 in words is "two billion, sixty-seven million, seven hundred sixty-one thousand".