2835441745920 has 1536 divisors, whose sum is σ = 11934458265600. Its totient is φ = 636755116032.

The previous prime is 2835441745909. The next prime is 2835441745921. The reversal of 2835441745920 is 295471445382.

It is a happy number.

2835441745920 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 4 + 41 + 7 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835441745921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22326312897 + ... + 22326313023.

It is an arithmetic number, because the mean of its divisors is an integer number (7769829600).

Almost surely, 2^{2835441745920} is an apocalyptic number.

2835441745920 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 2835441745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967229132800).

2835441745920 is an abundant number, since it is smaller than the sum of its proper divisors (9099016519680).

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

2835441745920 is a wasteful number, since it uses less digits than its factorization.

2835441745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2835441745920 in words is "two trillion, eight hundred thirty-five billion, four hundred forty-one million, seven hundred forty-five thousand, nine hundred twenty".