2006762249610 has 36 divisors (see below), whose sum is σ = 5217616790802. Its totient is φ = 535133016144.

The previous prime is 2006762249599. The next prime is 2006762249633. The reversal of 2006762249610 is 169422676002.

2006762249610 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 7 + 6 + 2 + 24 + 9 + 610 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1806086024649 + 200676224961 = 1343907^2 + 447969^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 17 ways as a sum of consecutive naturals, for example, 13364409 + ... + 13513731.

Almost surely, 2^{2006762249610} is an apocalyptic number.

2006762249610 is an abundant number, since it is smaller than the sum of its proper divisors (3210854541192).

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

2006762249610 is an frugal number, since it uses more digits than its factorization.

2006762249610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298659 (or 149333 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2006762249610 in words is "two trillion, six billion, seven hundred sixty-two million, two hundred forty-nine thousand, six hundred ten".