2068157520 has 480 divisors, whose sum is σ = 8335716480. Its totient is φ = 452874240.

The previous prime is 2068157501. The next prime is 2068157537. The reversal of 2068157520 is 257518602.

It is a happy number.

2068157520 is a `hidden beast` number, since 2 + 0 + 6 + 81 + 57 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5456691 + ... + 5457069.

It is an arithmetic number, because the mean of its divisors is an integer number (17366076).

Almost surely, 2^2068157520 is an apocalyptic number.

2068157520 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 2068157520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167858240).

2068157520 is an abundant number, since it is smaller than the sum of its proper divisors (6267558960).

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

2068157520 is a wasteful number, since it uses less digits than its factorization.

2068157520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2068157520 is about 45476.9999010489. Note that the first 4 decimals coincide. The cubic root of 2068157520 is about 1274.0736616279.

The spelling of 2068157520 in words is "two billion, sixty-eight million, one hundred fifty-seven thousand, five hundred twenty".