2068733520 has 400 divisors, whose sum is σ = 8361429120. Its totient is φ = 464237568.

The previous prime is 2068733507. The next prime is 2068733539. The reversal of 2068733520 is 253378602.

2068733520 is a `hidden beast` number, since 2 + 0 + 68 + 73 + 3 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2675854 + ... + 2676626.

Almost surely, 2^2068733520 is an apocalyptic number.

2068733520 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 2068733520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180714560).

2068733520 is an abundant number, since it is smaller than the sum of its proper divisors (6292695600).

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

2068733520 is a wasteful number, since it uses less digits than its factorization.

2068733520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2068733520 is about 45483.3323317454. The cubic root of 2068733520 is about 1274.1919308770.

The spelling of 2068733520 in words is "two billion, sixty-eight million, seven hundred thirty-three thousand, five hundred twenty".