2214306739200 has 1056 divisors, whose sum is σ = 8082573932160. Its totient is φ = 532152320000.

The previous prime is 2214306739189. The next prime is 2214306739207. The reversal of 2214306739200 is 29376034122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214306739207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8821939075 + ... + 8821939325.

Almost surely, 2^{2214306739200} is an apocalyptic number.

2214306739200 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 2214306739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041286966080).

2214306739200 is an abundant number, since it is smaller than the sum of its proper divisors (5868267192960).

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

2214306739200 is a wasteful number, since it uses less digits than its factorization.

2214306739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 2214306739200 in words is "two trillion, two hundred fourteen billion, three hundred six million, seven hundred thirty-nine thousand, two hundred".