2068262560 has 288 divisors, whose sum is σ = 6197990400. Its totient is φ = 651635712.

The previous prime is 2068262549. The next prime is 2068262561. The reversal of 2068262560 is 652628602.

It is not an unprimeable number, because it can be changed into a prime (2068262561) 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, 9274609 + ... + 9274831.

It is an arithmetic number, because the mean of its divisors is an integer number (21520800).

Almost surely, 2^2068262560 is an apocalyptic number.

2068262560 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 2068262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098995200).

2068262560 is an abundant number, since it is smaller than the sum of its proper divisors (4129727840).

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

2068262560 is a wasteful number, since it uses less digits than its factorization.

2068262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2068262560 is about 45478.1547558825. The cubic root of 2068262560 is about 1274.0952309766.

It can be divided in two parts, 2068 and 262560, that added together give a triangular number (264628 = T₇₂₇).

The spelling of 2068262560 in words is "two billion, sixty-eight million, two hundred sixty-two thousand, five hundred sixty".