2006266400 has 72 divisors (see below), whose sum is σ = 5066746020. Its totient is φ = 774824960.

The previous prime is 2006266331. The next prime is 2006266417. The reversal of 2006266400 is 46626002.

It can be written as a sum of positive squares in 6 ways, for example, as 208167184 + 1798099216 = 14428^2 + 42404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2006266400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20039 + ... + 66438.

Almost surely, 2^2006266400 is an apocalyptic number.

2006266400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006266400 is an abundant number, since it is smaller than the sum of its proper divisors (3060479620).

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

2006266400 is a wasteful number, since it uses less digits than its factorization.

2006266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86526 (or 86513 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2006266400 is about 44791.3652392958. The cubic root of 2006266400 is about 1261.2355395408.

The spelling of 2006266400 in words is "two billion, six million, two hundred sixty-six thousand, four hundred".