2842019994240 has 768 divisors, whose sum is σ = 11893550423040. Its totient is φ = 610467840000.

The previous prime is 2842019994197. The next prime is 2842019994259. The reversal of 2842019994240 is 424999102482.

It is a happy number.

2842019994240 is a `hidden beast` number, since 2 + 8 + 4 + 20 + 199 + 9 + 424 + 0 = 666.

It is a super-5 number, since 5×2842019994240⁵ (a number of 63 digits) contains 55555 as substring.

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, 514762680 + ... + 514768200.

It is an arithmetic number, because the mean of its divisors is an integer number (15486393780).

Almost surely, 2^{2842019994240} is an apocalyptic number.

2842019994240 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 2842019994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946775211520).

2842019994240 is an abundant number, since it is smaller than the sum of its proper divisors (9051530428800).

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

2842019994240 is a wasteful number, since it uses less digits than its factorization.

2842019994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2842019994240 in words is "two trillion, eight hundred forty-two billion, nineteen million, nine hundred ninety-four thousand, two hundred forty".