2039072863752 has 512 divisors, whose sum is σ = 6346211328000. Its totient is φ = 603998311680.

The previous prime is 2039072863727. The next prime is 2039072863819. The reversal of 2039072863752 is 2573682709302.

2039072863752 is a `hidden beast` number, since 203 + 90 + 7 + 286 + 3 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 639807903 + ... + 639811089.

It is an arithmetic number, because the mean of its divisors is an integer number (12394944000).

Almost surely, 2^{2039072863752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2039072863752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173105664000).

2039072863752 is an abundant number, since it is smaller than the sum of its proper divisors (4307138464248).

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

2039072863752 is a wasteful number, since it uses less digits than its factorization.

2039072863752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2039072863752 in words is "two trillion, thirty-nine billion, seventy-two million, eight hundred sixty-three thousand, seven hundred fifty-two".