2849221383840 has 672 divisors, whose sum is σ = 11000076514560. Its totient is φ = 692866234368.

The previous prime is 2849221383821. The next prime is 2849221383863. The reversal of 2849221383840 is 483831229482.

2849221383840 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 221 + 38 + 384 + 0 = 666.

It is a super-2 number, since 2×2849221383840² (a number of 26 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 125843241 + ... + 125865879.

It is an arithmetic number, because the mean of its divisors is an integer number (16369161480).

Almost surely, 2^{2849221383840} is an apocalyptic number.

2849221383840 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 2849221383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500038257280).

2849221383840 is an abundant number, since it is smaller than the sum of its proper divisors (8150855130720).

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

2849221383840 is a wasteful number, since it uses less digits than its factorization.

2849221383840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22768 (or 22745 counting only the distinct ones).

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

The spelling of 2849221383840 in words is "two trillion, eight hundred forty-nine billion, two hundred twenty-one million, three hundred eighty-three thousand, eight hundred forty".