2235242143680 has 1792 divisors, whose sum is σ = 9318111903744. Its totient is φ = 441447874560.

The previous prime is 2235242143679. The next prime is 2235242143709. The reversal of 2235242143680 is 863412425322.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17600331777 + ... + 17600331903.

It is an arithmetic number, because the mean of its divisors is an integer number (5199839232).

Almost surely, 2^{2235242143680} is an apocalyptic number.

2235242143680 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 2235242143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659055951872).

2235242143680 is an abundant number, since it is smaller than the sum of its proper divisors (7082869760064).

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

2235242143680 is a wasteful number, since it uses less digits than its factorization.

2235242143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 2235242143680 in words is "two trillion, two hundred thirty-five billion, two hundred forty-two million, one hundred forty-three thousand, six hundred eighty".