2846790144 has 320 divisors, whose sum is σ = 9335652480. Its totient is φ = 849346560.

The previous prime is 2846790137. The next prime is 2846790157. The reversal of 2846790144 is 4410976482.

It is a self number, because there is not a number n which added to its sum of digits gives 2846790144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14750112 + ... + 14750304.

It is an arithmetic number, because the mean of its divisors is an integer number (29173914).

Almost surely, 2^2846790144 is an apocalyptic number.

2846790144 is a gapful number since it is divisible by the number (24) 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 2846790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667826240).

2846790144 is an abundant number, since it is smaller than the sum of its proper divisors (6488862336).

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

2846790144 is a wasteful number, since it uses less digits than its factorization.

2846790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2846790144 is about 53355.3197347743. The cubic root of 2846790144 is about 1417.2674661252.

The spelling of 2846790144 in words is "two billion, eight hundred forty-six million, seven hundred ninety thousand, one hundred forty-four".