2234042210400 has 2304 divisors, whose sum is σ = 10288753477632. Its totient is φ = 406093824000.

The previous prime is 2234042210399. The next prime is 2234042210419. The reversal of 2234042210400 is 40122404322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3644440494 + ... + 3644441106.

It is an arithmetic number, because the mean of its divisors is an integer number (4465604808).

Almost surely, 2^{2234042210400} is an apocalyptic number.

2234042210400 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 2234042210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144376738816).

2234042210400 is an abundant number, since it is smaller than the sum of its proper divisors (8054711267232).

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

2234042210400 is a wasteful number, since it uses less digits than its factorization.

2234042210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2234042210400 its reverse (40122404322), we get a palindrome (2274164614722).

It can be divided in two parts, 2234042 and 210400, that added together give a palindrome (2444442).

The spelling of 2234042210400 in words is "two trillion, two hundred thirty-four billion, forty-two million, two hundred ten thousand, four hundred".