2009874510840 has 384 divisors, whose sum is σ = 7262018150400. Its totient is φ = 443247759360.

The previous prime is 2009874510827. The next prime is 2009874510857. The reversal of 2009874510840 is 480154789002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2009874510840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61412001 + ... + 61444719.

It is an arithmetic number, because the mean of its divisors is an integer number (18911505600).

Almost surely, 2^{2009874510840} is an apocalyptic number.

2009874510840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009874510840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631009075200).

2009874510840 is an abundant number, since it is smaller than the sum of its proper divisors (5252143639560).

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

2009874510840 is a wasteful number, since it uses less digits than its factorization.

2009874510840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33115 (or 33104 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 2009874510840 in words is "two trillion, nine billion, eight hundred seventy-four million, five hundred ten thousand, eight hundred forty".