2069293271040 has 1536 divisors, whose sum is σ = 8136640512000. Its totient is φ = 496867737600.

The previous prime is 2069293270963. The next prime is 2069293271077. The reversal of 2069293271040 is 401723929602.

2069293271040 is a `hidden beast` number, since 206 + 92 + 93 + 271 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 15796131775 + ... + 15796131905.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292000).

Almost surely, 2^{2069293271040} is an apocalyptic number.

2069293271040 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 2069293271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068320256000).

2069293271040 is an abundant number, since it is smaller than the sum of its proper divisors (6067347240960).

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

2069293271040 is a wasteful number, since it uses less digits than its factorization.

2069293271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2069293271040 in words is "two trillion, sixty-nine billion, two hundred ninety-three million, two hundred seventy-one thousand, forty".