2080202342400 has 2700 divisors, whose sum is σ = 9716695247952. Its totient is φ = 430618705920.

The previous prime is 2080202342363. The next prime is 2080202342419. The reversal of 2080202342400 is 42432020802.

2080202342400 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 20 + 234 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 39249100774 + ... + 39249100826.

Almost surely, 2^{2080202342400} is an apocalyptic number.

2080202342400 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 2080202342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858347623976).

2080202342400 is an abundant number, since it is smaller than the sum of its proper divisors (7636492905552).

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

2080202342400 is an equidigital number, since it uses as much as digits as its factorization.

2080202342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 2080202342400 in words is "two trillion, eighty billion, two hundred two million, three hundred forty-two thousand, four hundred".