2065754000 has 80 divisors (see below), whose sum is σ = 5063775600. Its totient is φ = 814924800.

The previous prime is 2065753979. The next prime is 2065754003. The reversal of 2065754000 is 4575602.

It can be written as a sum of positive squares in 8 ways, for example, as 186704896 + 1879049104 = 13664^2 + 43348^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2065754003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138926 + ... + 153074.

It is an arithmetic number, because the mean of its divisors is an integer number (63297195).

Almost surely, 2^2065754000 is an apocalyptic number.

2065754000 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 2065754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531887800).

2065754000 is an abundant number, since it is smaller than the sum of its proper divisors (2998021600).

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

2065754000 is a wasteful number, since it uses less digits than its factorization.

2065754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14245 (or 14229 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 2065754000 is about 45450.5665531245. The cubic root of 2065754000 is about 1273.5799132007.

The spelling of 2065754000 in words is "two billion, sixty-five million, seven hundred fifty-four thousand".