2842074720 has 288 divisors, whose sum is σ = 10313503200. Its totient is φ = 710664192.

The previous prime is 2842074713. The next prime is 2842074721. The reversal of 2842074720 is 274702482.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842074721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2981764 + ... + 2982716.

It is an arithmetic number, because the mean of its divisors is an integer number (35810775).

Almost surely, 2^2842074720 is an apocalyptic number.

2842074720 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 2842074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156751600).

2842074720 is an abundant number, since it is smaller than the sum of its proper divisors (7471428480).

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

2842074720 is a wasteful number, since it uses less digits than its factorization.

2842074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2842074720 is about 53311.1125376314. The cubic root of 2842074720 is about 1416.4845129274.

The spelling of 2842074720 in words is "two billion, eight hundred forty-two million, seventy-four thousand, seven hundred twenty".