2065527100 has 144 divisors (see below), whose sum is σ = 5608488256. Its totient is φ = 642988800.

The previous prime is 2065527091. The next prime is 2065527103. The reversal of 2065527100 is 17255602.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065527103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33861070 + ... + 33861130.

Almost surely, 2^2065527100 is an apocalyptic number.

2065527100 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 2065527100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804244128).

2065527100 is an abundant number, since it is smaller than the sum of its proper divisors (3542961156).

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

2065527100 is an equidigital number, since it uses as much as digits as its factorization.

2065527100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2065527100 is about 45448.0703660783. The cubic root of 2065527100 is about 1273.5332819847.

The spelling of 2065527100 in words is "two billion, sixty-five million, five hundred twenty-seven thousand, one hundred".