2114340000 has 240 divisors, whose sum is σ = 7014379680. Its totient is φ = 557440000.

The previous prime is 2114339977. The next prime is 2114340037. The reversal of 2114340000 is 434112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7859866 + ... + 7860134.

It is an arithmetic number, because the mean of its divisors is an integer number (29226582).

Almost surely, 2^2114340000 is an apocalyptic number.

2114340000 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 2114340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507189840).

2114340000 is an abundant number, since it is smaller than the sum of its proper divisors (4900039680).

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

2114340000 is a wasteful number, since it uses less digits than its factorization.

2114340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2114340000 is about 45981.9529815775. The cubic root of 2114340000 is about 1283.4873974069.

Adding to 2114340000 its reverse (434112), we get a palindrome (2114774112).

The spelling of 2114340000 in words is "two billion, one hundred fourteen million, three hundred forty thousand".