2842407360 has 504 divisors, whose sum is σ = 11017056960. Its totient is φ = 668528640.

The previous prime is 2842407349. The next prime is 2842407389. The reversal of 2842407360 is 637042482.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35979801 + ... + 35979879.

It is an arithmetic number, because the mean of its divisors is an integer number (21859240).

Almost surely, 2^2842407360 is an apocalyptic number.

2842407360 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 2842407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508528480).

2842407360 is an abundant number, since it is smaller than the sum of its proper divisors (8174649600).

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

2842407360 is a wasteful number, since it uses less digits than its factorization.

2842407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2842407360 is about 53314.2322461836. The cubic root of 2842407360 is about 1416.5397731479.

It can be divided in two parts, 284240 and 7360, that added together give a square (291600 = 540²).

The spelling of 2842407360 in words is "two billion, eight hundred forty-two million, four hundred seven thousand, three hundred sixty".