2009984760 has 128 divisors (see below), whose sum is σ = 7657113600. Its totient is φ = 459423360.

The previous prime is 2009984737. The next prime is 2009984777. The reversal of 2009984760 is 674899002.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125376 + ... + 140495.

It is an arithmetic number, because the mean of its divisors is an integer number (59821200).

Almost surely, 2^2009984760 is an apocalyptic number.

2009984760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009984760 is an abundant number, since it is smaller than the sum of its proper divisors (5647128840).

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

2009984760 is a wasteful number, since it uses less digits than its factorization.

2009984760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265898 (or 265888 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2009984760 is about 44832.8535785979. The cubic root of 2009984760 is about 1262.0142386355.

The spelling of 2009984760 in words is "two billion, nine million, nine hundred eighty-four thousand, seven hundred sixty".