2114000000 has 224 divisors, whose sum is σ = 6056172480. Its totient is φ = 720000000.

The previous prime is 2113999999. The next prime is 2114000011. The reversal of 2114000000 is 4112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13999925 + ... + 14000075.

Almost surely, 2^2114000000 is an apocalyptic number.

2114000000 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 2114000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028086240).

2114000000 is an abundant number, since it is smaller than the sum of its proper divisors (3942172480).

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

2114000000 is an frugal number, since it uses more digits than its factorization.

2114000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2114000000 is about 45978.2557302906. The cubic root of 2114000000 is about 1283.4185959356.

Adding to 2114000000 its reverse (4112), we get a palindrome (2114004112).

The spelling of 2114000000 in words is "two billion, one hundred fourteen million", and thus it is an aban number.