2006951478000 has 640 divisors, whose sum is σ = 7514663030784. Its totient is φ = 451325952000.

The previous prime is 2006951477977. The next prime is 2006951478001. The reversal of 2006951478000 is 8741596002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006951478001) by changing a digit.

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, 2278037560 + ... + 2278038440.

Almost surely, 2^{2006951478000} is an apocalyptic number.

2006951478000 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 2006951478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757331515392).

2006951478000 is an abundant number, since it is smaller than the sum of its proper divisors (5507711552784).

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

2006951478000 is a wasteful number, since it uses less digits than its factorization.

2006951478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 2006951478000 in words is "two trillion, six billion, nine hundred fifty-one million, four hundred seventy-eight thousand".