2114301200 has 120 divisors (see below), whose sum is σ = 5582871840. Its totient is φ = 763084800.

The previous prime is 2114301193. The next prime is 2114301229. The reversal of 2114301200 is 21034112.

It is a super-3 number, since 3×2114301200³ (a number of 29 digits) contains 333 as substring.

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, 609872 + ... + 613328.

It is an arithmetic number, because the mean of its divisors is an integer number (46523932).

Almost surely, 2^2114301200 is an apocalyptic number.

2114301200 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 2114301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791435920).

2114301200 is an abundant number, since it is smaller than the sum of its proper divisors (3468570640).

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

2114301200 is a wasteful number, since it uses less digits than its factorization.

2114301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2114301200 is about 45981.5310749871. The cubic root of 2114301200 is about 1283.4795463177.

Adding to 2114301200 its reverse (21034112), we get a palindrome (2135335312).

The spelling of 2114301200 in words is "two billion, one hundred fourteen million, three hundred one thousand, two hundred".