2235564342000 has 480 divisors, whose sum is σ = 8526424720320. Its totient is φ = 541413120000.

The previous prime is 2235564341993. The next prime is 2235564342013. The reversal of 2235564342000 is 2434655322.

2235564342000 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 5 + 643 + 4 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 219576910 + ... + 219587090.

It is an arithmetic number, because the mean of its divisors is an integer number (17763384834).

Almost surely, 2^{2235564342000} is an apocalyptic number.

2235564342000 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 2235564342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263212360160).

2235564342000 is an abundant number, since it is smaller than the sum of its proper divisors (6290860378320).

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

2235564342000 is a wasteful number, since it uses less digits than its factorization.

2235564342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11330 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 2235564342000 its reverse (2434655322), we get a palindrome (2237998997322).

The spelling of 2235564342000 in words is "two trillion, two hundred thirty-five billion, five hundred sixty-four million, three hundred forty-two thousand".