2046440331936 has 2016 divisors, whose sum is σ = 8468374569984. Its totient is φ = 472979865600.

The previous prime is 2046440331857. The next prime is 2046440331937. The reversal of 2046440331936 is 6391330446402.

2046440331936 is a `hidden beast` number, since 204 + 6 + 4 + 403 + 3 + 1 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 2046440331891 and 2046440331900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046440331937) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7962802720 + ... + 7962802976.

It is an arithmetic number, because the mean of its divisors is an integer number (4200582624).

Almost surely, 2^{2046440331936} is an apocalyptic number.

2046440331936 is a gapful number since it is divisible by the number (26) 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 2046440331936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234187284992).

2046440331936 is an abundant number, since it is smaller than the sum of its proper divisors (6421934238048).

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

2046440331936 is a wasteful number, since it uses less digits than its factorization.

2046440331936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 2046440331936 in words is "two trillion, forty-six billion, four hundred forty million, three hundred thirty-one thousand, nine hundred thirty-six".