2078360872200 has 576 divisors, whose sum is σ = 7302965080320. Its totient is φ = 549309600000.

The previous prime is 2078360872177. The next prime is 2078360872267. The reversal of 2078360872200 is 22780638702.

2078360872200 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 360 + 87 + 2 + 200 = 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, 4232913955 + ... + 4232914445.

It is an arithmetic number, because the mean of its divisors is an integer number (12678758820).

Almost surely, 2^{2078360872200} is an apocalyptic number.

2078360872200 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 2078360872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651482540160).

2078360872200 is an abundant number, since it is smaller than the sum of its proper divisors (5224604208120).

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

2078360872200 is a wasteful number, since it uses less digits than its factorization.

2078360872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2078360872200 in words is "two trillion, seventy-eight billion, three hundred sixty million, eight hundred seventy-two thousand, two hundred".