2068252876800 has 1344 divisors, whose sum is σ = 8522515238400. Its totient is φ = 487312588800.

The previous prime is 2068252876787. The next prime is 2068252876813. The reversal of 2068252876800 is 86782528602.

2068252876800 is a `hidden beast` number, since 206 + 82 + 5 + 287 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2068252876787) and next prime (2068252876813).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2250546741 + ... + 2250547659.

Almost surely, 2^{2068252876800} is an apocalyptic number.

2068252876800 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 2068252876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261257619200).

2068252876800 is an abundant number, since it is smaller than the sum of its proper divisors (6454262361600).

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

2068252876800 is a wasteful number, since it uses less digits than its factorization.

2068252876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2068252876800 in words is "two trillion, sixty-eight billion, two hundred fifty-two million, eight hundred seventy-six thousand, eight hundred".