2009152926720 has 1232 divisors, whose sum is σ = 7803234089280. Its totient is φ = 494478950400.

The previous prime is 2009152926713. The next prime is 2009152926721. The reversal of 2009152926720 is 276292519002.

2009152926720 is a `hidden beast` number, since 200 + 91 + 5 + 292 + 6 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009152926721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2907601575 + ... + 2907602265.

Almost surely, 2^{2009152926720} is an apocalyptic number.

2009152926720 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 2009152926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901617044640).

2009152926720 is an abundant number, since it is smaller than the sum of its proper divisors (5794081162560).

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

2009152926720 is an equidigital number, since it uses as much as digits as its factorization.

2009152926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2009152926720 in words is "two trillion, nine billion, one hundred fifty-two million, nine hundred twenty-six thousand, seven hundred twenty".