2046995406720 has 768 divisors, whose sum is σ = 7900865556480. Its totient is φ = 484100997120.

The previous prime is 2046995406719. The next prime is 2046995406787. The reversal of 2046995406720 is 276045996402.

2046995406720 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 99 + 540 + 6 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×2046995406720³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1092895704 + ... + 1092897576.

It is an arithmetic number, because the mean of its divisors is an integer number (10287585360).

Almost surely, 2^{2046995406720} is an apocalyptic number.

2046995406720 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 2046995406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950432778240).

2046995406720 is an abundant number, since it is smaller than the sum of its proper divisors (5853870149760).

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

2046995406720 is a wasteful number, since it uses less digits than its factorization.

2046995406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2046995406720 in words is "two trillion, forty-six billion, nine hundred ninety-five million, four hundred six thousand, seven hundred twenty".