2842042613760 has 1440 divisors, whose sum is σ = 12344026181760. Its totient is φ = 589786251264.

The previous prime is 2842042613741. The next prime is 2842042613797. The reversal of 2842042613760 is 673162402482.

It is a happy number.

2842042613760 is a `hidden beast` number, since 2 + 8 + 4 + 20 + 4 + 2 + 613 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 2544352722 + ... + 2544353838.

It is an arithmetic number, because the mean of its divisors is an integer number (8572240404).

Almost surely, 2^{2842042613760} is an apocalyptic number.

2842042613760 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 2842042613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172013090880).

2842042613760 is an abundant number, since it is smaller than the sum of its proper divisors (9501983568000).

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

2842042613760 is a wasteful number, since it uses less digits than its factorization.

2842042613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2842042613760 in words is "two trillion, eight hundred forty-two billion, forty-two million, six hundred thirteen thousand, seven hundred sixty".