2114332000 has 192 divisors, whose sum is σ = 5866136640. Its totient is φ = 741888000.

The previous prime is 2114331997. The next prime is 2114332013. The reversal of 2114332000 is 2334112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275172 + ... + 1276828.

It is an arithmetic number, because the mean of its divisors is an integer number (30552795).

Almost surely, 2^2114332000 is an apocalyptic number.

2114332000 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 2114332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933068320).

2114332000 is an abundant number, since it is smaller than the sum of its proper divisors (3751804640).

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

2114332000 is a wasteful number, since it uses less digits than its factorization.

2114332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2114332000 is about 45981.8659908447. The cubic root of 2114332000 is about 1283.4857786335.

Adding to 2114332000 its reverse (2334112), we get a palindrome (2116666112).

The spelling of 2114332000 in words is "two billion, one hundred fourteen million, three hundred thirty-two thousand".