2233415320000 has 280 divisors, whose sum is σ = 5621760460800. Its totient is φ = 879934848000.

The previous prime is 2233415319997. The next prime is 2233415320007. The reversal of 2233415320000 is 235143322.

It is a super-2 number, since 2×2233415320000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233415320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2272039509 + ... + 2272040491.

Almost surely, 2^{2233415320000} is an apocalyptic number.

2233415320000 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 2233415320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810880230400).

2233415320000 is an abundant number, since it is smaller than the sum of its proper divisors (3388345140800).

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

2233415320000 is an frugal number, since it uses more digits than its factorization.

2233415320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The spelling of 2233415320000 in words is "two trillion, two hundred thirty-three billion, four hundred fifteen million, three hundred twenty thousand".