2041337376000 has 1440 divisors, whose sum is σ = 8466939280800. Its totient is φ = 484923801600.

The previous prime is 2041337375951. The next prime is 2041337376007. The reversal of 2041337376000 is 6737331402.

2041337376000 is a `hidden beast` number, since 2 + 0 + 4 + 13 + 3 + 7 + 37 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1378689278976 + 662648097024 = 1174176^2 + 814032^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041337376007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 977182956 + ... + 977185044.

It is an arithmetic number, because the mean of its divisors is an integer number (5879818945).

Almost surely, 2^{2041337376000} is an apocalyptic number.

2041337376000 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 2041337376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233469640400).

2041337376000 is an abundant number, since it is smaller than the sum of its proper divisors (6425601904800).

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

2041337376000 is a wasteful number, since it uses less digits than its factorization.

2041337376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 2041337376000 in words is "two trillion, forty-one billion, three hundred thirty-seven million, three hundred seventy-six thousand".