2434223042400 has 576 divisors, whose sum is σ = 8376468871680. Its totient is φ = 613122048000.

The previous prime is 2434223042387. The next prime is 2434223042423. The reversal of 2434223042400 is 42403224342.

It is a super-2 number, since 2×2434223042400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704141472 + ... + 704144928.

It is an arithmetic number, because the mean of its divisors is an integer number (14542480680).

Almost surely, 2^{2434223042400} is an apocalyptic number.

2434223042400 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 2434223042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188234435840).

2434223042400 is an abundant number, since it is smaller than the sum of its proper divisors (5942245829280).

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

2434223042400 is a wasteful number, since it uses less digits than its factorization.

2434223042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2434223042400 its reverse (42403224342), we get a palindrome (2476626266742).

The spelling of 2434223042400 in words is "two trillion, four hundred thirty-four billion, two hundred twenty-three million, forty-two thousand, four hundred".