2064269292800 has 486 divisors, whose sum is σ = 6081730357626. Its totient is φ = 692857651200.

The previous prime is 2064269292781. The next prime is 2064269292809. The reversal of 2064269292800 is 82929624602.

It can be written as a sum of positive squares in 9 ways, for example, as 1230218159104 + 834051133696 = 1109152^2 + 913264^2 .

It is a super-2 number, since 2×2064269292800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064269292809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 130865714 + ... + 130881486.

Almost surely, 2^{2064269292800} is an apocalyptic number.

2064269292800 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 2064269292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040865178813).

2064269292800 is an abundant number, since it is smaller than the sum of its proper divisors (4017461064826).

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

2064269292800 is a wasteful number, since it uses less digits than its factorization.

2064269292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 2064269292800 in words is "two trillion, sixty-four billion, two hundred sixty-nine million, two hundred ninety-two thousand, eight hundred".