2234210400 has 216 divisors, whose sum is σ = 8009112384. Its totient is φ = 585907200.

The previous prime is 2234210369. The next prime is 2234210441. The reversal of 2234210400 is 40124322.

2234210400 is a `hidden beast` number, since 22 + 34 + 210 + 400 = 666.

It is a super-2 number, since 2×2234210400² = 9983392222936320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436657 + ... + 441743.

It is an arithmetic number, because the mean of its divisors is an integer number (37079224).

Almost surely, 2^2234210400 is an apocalyptic number.

2234210400 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 2234210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004556192).

2234210400 is an abundant number, since it is smaller than the sum of its proper divisors (5774901984).

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

2234210400 is a wasteful number, since it uses less digits than its factorization.

2234210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2234210400 is about 47267.4348785715. The cubic root of 2234210400 is about 1307.2982797237.

Adding to 2234210400 its reverse (40124322), we get a palindrome (2274334722).

The spelling of 2234210400 in words is "two billion, two hundred thirty-four million, two hundred ten thousand, four hundred".