2214733752 has 480 divisors, whose sum is σ = 8357508720. Its totient is φ = 539965440.

The previous prime is 2214733747. The next prime is 2214733789. The reversal of 2214733752 is 2573374122.

2214733752 is a `hidden beast` number, since 2 + 214 + 73 + 375 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 5937438 + ... + 5937810.

Almost surely, 2^2214733752 is an apocalyptic number.

2214733752 is a gapful number since it is divisible by the number (22) 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 2214733752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178754360).

2214733752 is an abundant number, since it is smaller than the sum of its proper divisors (6142774968).

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

2214733752 is a wasteful number, since it uses less digits than its factorization.

2214733752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 2214733752 is about 47060.9578313064. The cubic root of 2214733752 is about 1303.4884123018.

The spelling of 2214733752 in words is "two billion, two hundred fourteen million, seven hundred thirty-three thousand, seven hundred fifty-two".