2213429760 has 320 divisors, whose sum is σ = 8123765760. Its totient is φ = 570654720.

The previous prime is 2213429759. The next prime is 2213429761. The reversal of 2213429760 is 679243122.

2213429760 is a `hidden beast` number, since 221 + 3 + 429 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2213429759) and next prime (2213429761).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (2213429761) 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 31 ways as a sum of consecutive naturals, for example, 2142204 + ... + 2143236.

It is an arithmetic number, because the mean of its divisors is an integer number (25386768).

Almost surely, 2^2213429760 is an apocalyptic number.

2213429760 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 2213429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061882880).

2213429760 is an abundant number, since it is smaller than the sum of its proper divisors (5910336000).

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

2213429760 is a wasteful number, since it uses less digits than its factorization.

2213429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2213429760 is about 47047.1015047686. The cubic root of 2213429760 is about 1303.2325392335.

The spelling of 2213429760 in words is "two billion, two hundred thirteen million, four hundred twenty-nine thousand, seven hundred sixty".