2006950015728 has 400 divisors, whose sum is σ = 7150619283456. Its totient is φ = 530788515840.

The previous prime is 2006950015723. The next prime is 2006950015789. The reversal of 2006950015728 is 8275100596002.

2006950015728 is a `hidden beast` number, since 2 + 0 + 0 + 69 + 500 + 15 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006950015723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6313200 + ... + 6623472.

Almost surely, 2^{2006950015728} is an apocalyptic number.

2006950015728 is a gapful number since it is divisible by the number (28) 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 2006950015728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575309641728).

2006950015728 is an abundant number, since it is smaller than the sum of its proper divisors (5143669267728).

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

2006950015728 is a wasteful number, since it uses less digits than its factorization.

2006950015728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310354 (or 310339 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2006950015728 in words is "two trillion, six billion, nine hundred fifty million, fifteen thousand, seven hundred twenty-eight".