2039946935040 has 1728 divisors, whose sum is σ = 9073083801600. Its totient is φ = 412463923200.

The previous prime is 2039946935003. The next prime is 2039946935051. The reversal of 2039946935040 is 405396499302.

2039946935040 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 9 + 46 + 93 + 504 + 0 = 666.

It is a super-2 number, since 2×2039946935040² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1377411100 + ... + 1377412580.

It is an arithmetic number, because the mean of its divisors is an integer number (5250627200).

Almost surely, 2^{2039946935040} is an apocalyptic number.

2039946935040 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 2039946935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536541900800).

2039946935040 is an abundant number, since it is smaller than the sum of its proper divisors (7033136866560).

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

2039946935040 is a wasteful number, since it uses less digits than its factorization.

2039946935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 2039946935040 in words is "two trillion, thirty-nine billion, nine hundred forty-six million, nine hundred thirty-five thousand, forty".