2069019565344 has 576 divisors, whose sum is σ = 6503412464640. Its totient is φ = 645913128960.

The previous prime is 2069019565321. The next prime is 2069019565351. The reversal of 2069019565344 is 4435659109602.

2069019565344 is a `hidden beast` number, since 2 + 0 + 6 + 90 + 19 + 5 + 6 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2042466982 + ... + 2042467994.

It is an arithmetic number, because the mean of its divisors is an integer number (11290646640).

Almost surely, 2^{2069019565344} is an apocalyptic number.

2069019565344 is a gapful number since it is divisible by the number (24) 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 2069019565344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251706232320).

2069019565344 is an abundant number, since it is smaller than the sum of its proper divisors (4434392899296).

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

2069019565344 is a wasteful number, since it uses less digits than its factorization.

2069019565344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 2069019565344 in words is "two trillion, sixty-nine billion, nineteen million, five hundred sixty-five thousand, three hundred forty-four".