2235340618560 has 1120 divisors, whose sum is σ = 9637572637440. Its totient is φ = 480408993792.

The previous prime is 2235340618547. The next prime is 2235340618597. The reversal of 2235340618560 is 658160435322.

2235340618560 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 3 + 406 + 185 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 472285954 + ... + 472290686.

Almost surely, 2^{2235340618560} is an apocalyptic number.

2235340618560 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 2235340618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818786318720).

2235340618560 is an abundant number, since it is smaller than the sum of its proper divisors (7402232018880).

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

2235340618560 is a wasteful number, since it uses less digits than its factorization.

2235340618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2235340618560 in words is "two trillion, two hundred thirty-five billion, three hundred forty million, six hundred eighteen thousand, five hundred sixty".