2114299200 has 336 divisors, whose sum is σ = 7718283776. Its totient is φ = 503193600.

The previous prime is 2114299189. The next prime is 2114299247. The reversal of 2114299200 is 29924112.

It is a happy number.

It is a super-2 number, since 2×2114299200² = 8940522214241280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1933854 + ... + 1934946.

Almost surely, 2^2114299200 is an apocalyptic number.

2114299200 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 2114299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859141888).

2114299200 is an abundant number, since it is smaller than the sum of its proper divisors (5603984576).

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

2114299200 is a wasteful number, since it uses less digits than its factorization.

2114299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2114299200 is about 45981.5093271197. The cubic root of 2114299200 is about 1283.4791416198.

The spelling of 2114299200 in words is "two billion, one hundred fourteen million, two hundred ninety-nine thousand, two hundred".