2214151200 has 360 divisors, whose sum is σ = 8257721472. Its totient is φ = 577082880.

The previous prime is 2214151193. The next prime is 2214151207. The reversal of 2214151200 is 21514122.

It is an interprime number because it is at equal distance from previous prime (2214151193) and next prime (2214151207).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2214151200² = 9804931072922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2214151207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3045237 + ... + 3045963.

Almost surely, 2^2214151200 is an apocalyptic number.

2214151200 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 2214151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128860736).

2214151200 is an abundant number, since it is smaller than the sum of its proper divisors (6043570272).

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

2214151200 is a wasteful number, since it uses less digits than its factorization.

2214151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2214151200 is about 47054.7680899609. The cubic root of 2214151200 is about 1303.3741146849.

Adding to 2214151200 its reverse (21514122), we get a palindrome (2235665322).

The spelling of 2214151200 in words is "two billion, two hundred fourteen million, one hundred fifty-one thousand, two hundred".