2041046864640 has 1440 divisors, whose sum is σ = 8727585140736. Its totient is φ = 445628252160.

The previous prime is 2041046864587. The next prime is 2041046864737. The reversal of 2041046864640 is 464686401402.

2041046864640 is a `hidden beast` number, since 2 + 0 + 4 + 104 + 6 + 86 + 464 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1867379934 + ... + 1867381026.

Almost surely, 2^{2041046864640} is an apocalyptic number.

2041046864640 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 2041046864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363792570368).

2041046864640 is an abundant number, since it is smaller than the sum of its proper divisors (6686538276096).

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

2041046864640 is a wasteful number, since it uses less digits than its factorization.

2041046864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2041046864640 in words is "two trillion, forty-one billion, forty-six million, eight hundred sixty-four thousand, six hundred forty".