2114400000 has 216 divisors, whose sum is σ = 7041768048. Its totient is φ = 563200000.

The previous prime is 2114399993. The next prime is 2114400031. The reversal of 2114400000 is 44112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399560 + ... + 2400440.

It is an arithmetic number, because the mean of its divisors is an integer number (32600778).

Almost surely, 2^2114400000 is an apocalyptic number.

2114400000 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 2114400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520884024).

2114400000 is an abundant number, since it is smaller than the sum of its proper divisors (4927368048).

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

2114400000 is an frugal number, since it uses more digits than its factorization.

2114400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2114400000 is about 45982.6054068275. The cubic root of 2114400000 is about 1283.4995380773.

Adding to 2114400000 its reverse (44112), we get a palindrome (2114444112).

The spelling of 2114400000 in words is "two billion, one hundred fourteen million, four hundred thousand".