2233343646240 has 288 divisors, whose sum is σ = 8357732699904. Its totient is φ = 499617054720.

The previous prime is 2233343646199. The next prime is 2233343646257. The reversal of 2233343646240 is 426463433322.

2233343646240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2233343646240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2233343646192 and 2233343646201.

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, 95280 + ... + 2115600.

It is an arithmetic number, because the mean of its divisors is an integer number (29019905208).

Almost surely, 2^{2233343646240} is an apocalyptic number.

2233343646240 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 2233343646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178866349952).

2233343646240 is an abundant number, since it is smaller than the sum of its proper divisors (6124389053664).

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

2233343646240 is a wasteful number, since it uses less digits than its factorization.

2233343646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020400 (or 2020385 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 42.

The spelling of 2233343646240 in words is "two trillion, two hundred thirty-three billion, three hundred forty-three million, six hundred forty-six thousand, two hundred forty".