2009034023040 has 1024 divisors, whose sum is σ = 7880758272000. Its totient is φ = 479666995200.

The previous prime is 2009034023039. The next prime is 2009034023057. The reversal of 2009034023040 is 403204309002.

It is a happy number.

2009034023040 is a `hidden beast` number, since 2 + 0 + 0 + 90 + 340 + 230 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2009034022995 and 2009034023013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4661331625 + ... + 4661332055.

It is an arithmetic number, because the mean of its divisors is an integer number (7696053000).

Almost surely, 2^{2009034023040} is an apocalyptic number.

2009034023040 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 2009034023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940379136000).

2009034023040 is an abundant number, since it is smaller than the sum of its proper divisors (5871724248960).

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

2009034023040 is a wasteful number, since it uses less digits than its factorization.

2009034023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 2009034023040 in words is "two trillion, nine billion, thirty-four million, twenty-three thousand, forty".