2114404320 has 192 divisors, whose sum is σ = 7646607360. Its totient is φ = 481087488.

The previous prime is 2114404307. The next prime is 2114404337. The reversal of 2114404320 is 234044112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801724 + ... + 804356.

It is an arithmetic number, because the mean of its divisors is an integer number (39826080).

Almost surely, 2^2114404320 is an apocalyptic number.

2114404320 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 2114404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823303680).

2114404320 is an abundant number, since it is smaller than the sum of its proper divisors (5532203040).

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

2114404320 is a wasteful number, since it uses less digits than its factorization.

2114404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2114404320 is about 45982.6523810882. The cubic root of 2114404320 is about 1283.5004121967.

Adding to 2114404320 its reverse (234044112), we get a palindrome (2348448432).

The spelling of 2114404320 in words is "two billion, one hundred fourteen million, four hundred four thousand, three hundred twenty".