2233302200400 has 240 divisors, whose sum is σ = 7231812223680. Its totient is φ = 589099929600.

The previous prime is 2233302200377. The next prime is 2233302200419. The reversal of 2233302200400 is 40022033322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2233302200400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49180906 + ... + 49226294.

It is an arithmetic number, because the mean of its divisors is an integer number (30132550932).

Almost surely, 2^{2233302200400} is an apocalyptic number.

2233302200400 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 2233302200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615906111840).

2233302200400 is an abundant number, since it is smaller than the sum of its proper divisors (4998510023280).

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

2233302200400 is a wasteful number, since it uses less digits than its factorization.

2233302200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45854 (or 45843 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 2233302200400 its reverse (40022033322), we get a palindrome (2273324233722).

The spelling of 2233302200400 in words is "two trillion, two hundred thirty-three billion, three hundred two million, two hundred thousand, four hundred".