2214132921 has 256 divisors, whose sum is σ = 4799692800. Its totient is φ = 970444800.

The previous prime is 2214132913. The next prime is 2214132967. The reversal of 2214132921 is 1292314122.

2214132921 is a `hidden beast` number, since 221 + 413 + 2 + 9 + 21 = 666.

It is not a de Polignac number, because 2214132921 - 2³ = 2214132913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2214132901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28026960 + ... + 28027038.

It is an arithmetic number, because the mean of its divisors is an integer number (18748800).

Almost surely, 2^2214132921 is an apocalyptic number.

2214132921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2214132921 is an abundant number, since it is smaller than the sum of its proper divisors (2585559879).

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

2214132921 is a wasteful number, since it uses less digits than its factorization.

2214132921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2214132921 is about 47054.5738584465. The cubic root of 2214132921 is about 1303.3705279920.

The spelling of 2214132921 in words is "two billion, two hundred fourteen million, one hundred thirty-two thousand, nine hundred twenty-one".