2093414400 has 864 divisors, whose sum is σ = 9505641600. Its totient is φ = 427622400.

The previous prime is 2093414399. The next prime is 2093414417. The reversal of 2093414400 is 44143902.

2093414400 is a `hidden beast` number, since 209 + 3 + 414 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35481571 + ... + 35481629.

It is an arithmetic number, because the mean of its divisors is an integer number (11001900).

Almost surely, 2^2093414400 is an apocalyptic number.

2093414400 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 2093414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752820800).

2093414400 is an abundant number, since it is smaller than the sum of its proper divisors (7412227200).

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

2093414400 is a wasteful number, since it uses less digits than its factorization.

2093414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2093414400 is about 45753.8457400031. The cubic root of 2093414400 is about 1279.2391311406.

The spelling of 2093414400 in words is "two billion, ninety-three million, four hundred fourteen thousand, four hundred".