2073814707888 has 960 divisors, whose sum is σ = 8027746191360. Its totient is φ = 499913441280.

The previous prime is 2073814707869. The next prime is 2073814707889. The reversal of 2073814707888 is 8887074183702.

2073814707888 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 81 + 470 + 7 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2073814707889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 454084581 + ... + 454089147.

It is an arithmetic number, because the mean of its divisors is an integer number (8362235616).

Almost surely, 2^{2073814707888} is an apocalyptic number.

2073814707888 is a gapful number since it is divisible by the number (28) 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 2073814707888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013873095680).

2073814707888 is an abundant number, since it is smaller than the sum of its proper divisors (5953931483472).

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

2073814707888 is a wasteful number, since it uses less digits than its factorization.

2073814707888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 2073814707888 in words is "two trillion, seventy-three billion, eight hundred fourteen million, seven hundred seven thousand, eight hundred eighty-eight".