2065250880 has 672 divisors, whose sum is σ = 9053291520. Its totient is φ = 419696640.

The previous prime is 2065250851. The next prime is 2065250881. The reversal of 2065250880 is 880525602.

2065250880 is a `hidden beast` number, since 20 + 6 + 52 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2065250880² = 8530522394681548800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2065250881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14857851 + ... + 14857989.

It is an arithmetic number, because the mean of its divisors is an integer number (13472160).

Almost surely, 2^2065250880 is an apocalyptic number.

2065250880 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 2065250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526645760).

2065250880 is an abundant number, since it is smaller than the sum of its proper divisors (6988040640).

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

2065250880 is a wasteful number, since it uses less digits than its factorization.

2065250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2065250880 is about 45445.0314115856. The cubic root of 2065250880 is about 1273.4765101894.

The spelling of 2065250880 in words is "two billion, sixty-five million, two hundred fifty thousand, eight hundred eighty".