2078168400 has 1200 divisors, whose sum is σ = 10046678400. Its totient is φ = 406425600.

The previous prime is 2078168369. The next prime is 2078168431. The reversal of 2078168400 is 48618702.

2078168400 is a `hidden beast` number, since 20 + 78 + 168 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2078168369) and next prime (2078168431).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122245192 + ... + 122245208.

It is an arithmetic number, because the mean of its divisors is an integer number (8372232).

Almost surely, 2^2078168400 is an apocalyptic number.

2078168400 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 2078168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023339200).

2078168400 is an abundant number, since it is smaller than the sum of its proper divisors (7968510000).

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

2078168400 is a wasteful number, since it uses less digits than its factorization.

2078168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2078168400 is about 45586.9323381164. The cubic root of 2078168400 is about 1276.1260640051.

The spelling of 2078168400 in words is "two billion, seventy-eight million, one hundred sixty-eight thousand, four hundred".