2069641728 has 480 divisors, whose sum is σ = 7864496640. Its totient is φ = 507617280.

The previous prime is 2069641699. The next prime is 2069641741. The reversal of 2069641728 is 8271469602.

It is a happy number.

2069641728 is a `hidden beast` number, since 206 + 9 + 6 + 417 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6741351 + ... + 6741657.

It is an arithmetic number, because the mean of its divisors is an integer number (16384368).

Almost surely, 2^2069641728 is an apocalyptic number.

2069641728 is a gapful number since it is divisible by the number (28) 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 2069641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932248320).

2069641728 is an abundant number, since it is smaller than the sum of its proper divisors (5794854912).

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

2069641728 is a wasteful number, since it uses less digits than its factorization.

2069641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2069641728 is about 45493.3152012469. The cubic root of 2069641728 is about 1274.3783673267.

The spelling of 2069641728 in words is "two billion, sixty-nine million, six hundred forty-one thousand, seven hundred twenty-eight".