2009049461000 has 64 divisors (see below), whose sum is σ = 4710200330160. Its totient is φ = 802077120000.

The previous prime is 2009049460993. The next prime is 2009049461021. The reversal of 2009049461000 is 1649409002.

It can be written as a sum of positive squares in 8 ways, for example, as 253228355524 + 1755821105476 = 503218^2 + 1325074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407071 + ... + 2449070.

Almost surely, 2^{2009049461000} is an apocalyptic number.

2009049461000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009049461000 is an abundant number, since it is smaller than the sum of its proper divisors (2701150869160).

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

2009049461000 is a wasteful number, since it uses less digits than its factorization.

2009049461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856683 (or 3856669 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 2009049461000 in words is "two trillion, nine billion, forty-nine million, four hundred sixty-one thousand".