2009325269952 has 1344 divisors, whose sum is σ = 8089027215360. Its totient is φ = 459990835200.

The previous prime is 2009325269923. The next prime is 2009325269969. The reversal of 2009325269952 is 2599625239002.

2009325269952 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 325 + 269 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1412033913 + ... + 1412035335.

It is an arithmetic number, because the mean of its divisors is an integer number (6018621440).

Almost surely, 2^{2009325269952} is an apocalyptic number.

2009325269952 is a gapful number since it is divisible by the number (22) 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 2009325269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044513607680).

2009325269952 is an abundant number, since it is smaller than the sum of its proper divisors (6079701945408).

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

2009325269952 is a wasteful number, since it uses less digits than its factorization.

2009325269952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 2009325269952 in words is "two trillion, nine billion, three hundred twenty-five million, two hundred sixty-nine thousand, nine hundred fifty-two".