2849972944896 has 1056 divisors, whose sum is σ = 10741173775488. Its totient is φ = 706656337920.

The previous prime is 2849972944837. The next prime is 2849972944909. The reversal of 2849972944896 is 6984492799482.

2849972944896 is a `hidden beast` number, since 2 + 8 + 49 + 9 + 7 + 2 + 94 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53773074406 + ... + 53773074458.

Almost surely, 2^{2849972944896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2849972944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370586887744).

2849972944896 is an abundant number, since it is smaller than the sum of its proper divisors (7891200830592).

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

2849972944896 is an frugal number, since it uses more digits than its factorization.

2849972944896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its digits is 4514807808, while the sum is 81.

The spelling of 2849972944896 in words is "two trillion, eight hundred forty-nine billion, nine hundred seventy-two million, nine hundred forty-four thousand, eight hundred ninety-six".