2449381862736 has 240 divisors, whose sum is σ = 7181146627200. Its totient is φ = 808180291584.

The previous prime is 2449381862651. The next prime is 2449381862783. The reversal of 2449381862736 is 6372681839442.

2449381862736 is a `hidden beast` number, since 2 + 4 + 493 + 8 + 18 + 62 + 73 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191217100 + ... + 191229908.

It is an arithmetic number, because the mean of its divisors is an integer number (29921444280).

Almost surely, 2^{2449381862736} 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 2449381862736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590573313600).

2449381862736 is an abundant number, since it is smaller than the sum of its proper divisors (4731764764464).

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

2449381862736 is a wasteful number, since it uses less digits than its factorization.

2449381862736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13328 (or 13310 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 2449381862736 in words is "two trillion, four hundred forty-nine billion, three hundred eighty-one million, eight hundred sixty-two thousand, seven hundred thirty-six".