2849865402384 has 1920 divisors, whose sum is σ = 11652454195200. Its totient is φ = 639307468800.

The previous prime is 2849865402383. The next prime is 2849865402401. The reversal of 2849865402384 is 4832045689482.

2849865402384 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 8 + 6 + 540 + 2 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2849865402383) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8609865099 + ... + 8609865429.

It is an arithmetic number, because the mean of its divisors is an integer number (6068986560).

Almost surely, 2^{2849865402384} is an apocalyptic number.

2849865402384 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 2849865402384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826227097600).

2849865402384 is an abundant number, since it is smaller than the sum of its proper divisors (8802588792816).

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

2849865402384 is a wasteful number, since it uses less digits than its factorization.

2849865402384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 2849865402384 in words is "two trillion, eight hundred forty-nine billion, eight hundred sixty-five million, four hundred two thousand, three hundred eighty-four".