2068149232800 has 864 divisors, whose sum is σ = 8581157020800. Its totient is φ = 468473241600.

The previous prime is 2068149232759. The next prime is 2068149232813. The reversal of 2068149232800 is 82329418602.

2068149232800 is a `hidden beast` number, since 2 + 0 + 6 + 81 + 492 + 3 + 2 + 80 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 279061095 + ... + 279068505.

It is an arithmetic number, because the mean of its divisors is an integer number (9931894700).

Almost surely, 2^{2068149232800} is an apocalyptic number.

2068149232800 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 2068149232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290578510400).

2068149232800 is an abundant number, since it is smaller than the sum of its proper divisors (6513007788000).

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

2068149232800 is a wasteful number, since it uses less digits than its factorization.

2068149232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2068149232800 in words is "two trillion, sixty-eight billion, one hundred forty-nine million, two hundred thirty-two thousand, eight hundred".