2114996800 has 252 divisors, whose sum is σ = 6180223860. Its totient is φ = 710062080.

The previous prime is 2114996789. The next prime is 2114996803. The reversal of 2114996800 is 86994112.

It can be written as a sum of positive squares in 6 ways, for example, as 42198016 + 2072798784 = 6496^2 + 45528^2 .

It is a super-2 number, since 2×2114996800² = 8946422928020480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2114996803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4154946 + ... + 4155454.

Almost surely, 2^2114996800 is an apocalyptic number.

2114996800 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 2114996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090111930).

2114996800 is an abundant number, since it is smaller than the sum of its proper divisors (4065227060).

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

2114996800 is a wasteful number, since it uses less digits than its factorization.

2114996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 2114996800 is about 45989.0943594240. The cubic root of 2114996800 is about 1283.6202847773.

The spelling of 2114996800 in words is "two billion, one hundred fourteen million, nine hundred ninety-six thousand, eight hundred".