2849249844000 has 3456 divisors, whose sum is σ = 13538279139840. Its totient is φ = 586297958400.

The previous prime is 2849249843981. The next prime is 2849249844041. The reversal of 2849249844000 is 4489429482.

It is a happy number.

2849249844000 is a `hidden beast` number, since 28 + 4 + 92 + 4 + 98 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 123880427989 + ... + 123880428011.

It is an arithmetic number, because the mean of its divisors is an integer number (3917326140).

Almost surely, 2^{2849249844000} is an apocalyptic number.

2849249844000 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 2849249844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769139569920).

2849249844000 is an abundant number, since it is smaller than the sum of its proper divisors (10689029295840).

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

2849249844000 is an equidigital number, since it uses as much as digits as its factorization.

2849249844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2849249844000 in words is "two trillion, eight hundred forty-nine billion, two hundred forty-nine million, eight hundred forty-four thousand".