2886248640 has 448 divisors, whose sum is σ = 10507553280. Its totient is φ = 665026560.

The previous prime is 2886248621. The next prime is 2886248641. The reversal of 2886248640 is 468426882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2886248640.

It is not an unprimeable number, because it can be changed into a prime (2886248641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32429716 + ... + 32429804.

It is an arithmetic number, because the mean of its divisors is an integer number (23454360).

Almost surely, 2^2886248640 is an apocalyptic number.

2886248640 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 2886248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253776640).

2886248640 is an abundant number, since it is smaller than the sum of its proper divisors (7621304640).

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

2886248640 is a wasteful number, since it uses less digits than its factorization.

2886248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 2886248640 is about 53723.8181815105. The cubic root of 2886248640 is about 1423.7855482299.

The spelling of 2886248640 in words is "two billion, eight hundred eighty-six million, two hundred forty-eight thousand, six hundred forty".