2649290900 has 36 divisors (see below), whose sum is σ = 5766401760. Its totient is φ = 1056501600.

The previous prime is 2649290899. The next prime is 2649290921. The reversal of 2649290900 is 90929462.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6920 + ... + 73119.

Almost surely, 2^2649290900 is an apocalyptic number.

2649290900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2649290900 is an abundant number, since it is smaller than the sum of its proper divisors (3117110860).

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

2649290900 is a wasteful number, since it uses less digits than its factorization.

2649290900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80384 (or 80377 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 2649290900 is about 51471.2628560831. The cubic root of 2649290900 is about 1383.7040621828.

The spelling of 2649290900 in words is "two billion, six hundred forty-nine million, two hundred ninety thousand, nine hundred".