2235093719040 has 2304 divisors, whose sum is σ = 10300313237760. Its totient is φ = 434865438720.

The previous prime is 2235093718993. The next prime is 2235093719093. The reversal of 2235093719040 is 409173905322.

2235093719040 is a `hidden beast` number, since 2 + 23 + 509 + 37 + 1 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8696862592 + ... + 8696862848.

It is an arithmetic number, because the mean of its divisors is an integer number (4470622065).

Almost surely, 2^{2235093719040} is an apocalyptic number.

2235093719040 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 2235093719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150156618880).

2235093719040 is an abundant number, since it is smaller than the sum of its proper divisors (8065219518720).

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

2235093719040 is a wasteful number, since it uses less digits than its factorization.

2235093719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2235093719040 in words is "two trillion, two hundred thirty-five billion, ninety-three million, seven hundred nineteen thousand, forty".