2842333079040 has 3200 divisors, whose sum is σ = 13351737434112. Its totient is φ = 561842749440.

The previous prime is 2842333079029. The next prime is 2842333079063. The reversal of 2842333079040 is 409703332482.

2842333079040 is a `hidden beast` number, since 28 + 4 + 233 + 307 + 90 + 4 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 25153390024 + ... + 25153390136.

Almost surely, 2^{2842333079040} is an apocalyptic number.

2842333079040 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 2842333079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675868717056).

2842333079040 is an abundant number, since it is smaller than the sum of its proper divisors (10509404355072).

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

2842333079040 is a wasteful number, since it uses less digits than its factorization.

2842333079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2842333079040 in words is "two trillion, eight hundred forty-two billion, three hundred thirty-three million, seventy-nine thousand, forty".