2006462405100 has 144 divisors (see below), whose sum is σ = 6147494535168. Its totient is φ = 503530460160.

The previous prime is 2006462405029. The next prime is 2006462405131. The reversal of 2006462405100 is 15042646002.

It is a super-3 number, since 3×2006462405100³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79460677 + ... + 79485923.

It is an arithmetic number, because the mean of its divisors is an integer number (42690934272).

Almost surely, 2^{2006462405100} is an apocalyptic number.

2006462405100 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 2006462405100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073747267584).

2006462405100 is an abundant number, since it is smaller than the sum of its proper divisors (4141032130068).

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

2006462405100 is a wasteful number, since it uses less digits than its factorization.

2006462405100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40864 (or 40857 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2006462405100 in words is "two trillion, six billion, four hundred sixty-two million, four hundred five thousand, one hundred".