2068738560 has 480 divisors, whose sum is σ = 8334323712. Its totient is φ = 464486400.

The previous prime is 2068738547. The next prime is 2068738589. The reversal of 2068738560 is 658378602.

2068738560 is a `hidden beast` number, since 2 + 0 + 6 + 87 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16289217 + ... + 16289343.

Almost surely, 2^2068738560 is an apocalyptic number.

2068738560 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 2068738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167161856).

2068738560 is an abundant number, since it is smaller than the sum of its proper divisors (6265585152).

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

2068738560 is a wasteful number, since it uses less digits than its factorization.

2068738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2068738560 is about 45483.3877366231. The cubic root of 2068738560 is about 1274.1929656360.

The spelling of 2068738560 in words is "two billion, sixty-eight million, seven hundred thirty-eight thousand, five hundred sixty".