2826430464 has 192 divisors, whose sum is σ = 8855421120. Its totient is φ = 790364160.

The previous prime is 2826430447. The next prime is 2826430471. The reversal of 2826430464 is 4640346282.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 876984 + ... + 880200.

It is an arithmetic number, because the mean of its divisors is an integer number (46121985).

Almost surely, 2^2826430464 is an apocalyptic number.

2826430464 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 2826430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427710560).

2826430464 is an abundant number, since it is smaller than the sum of its proper divisors (6028990656).

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

2826430464 is a wasteful number, since it uses less digits than its factorization.

2826430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 2826430464 is about 53164.1840339904. The cubic root of 2826430464 is about 1413.8807072461.

The spelling of 2826430464 in words is "two billion, eight hundred twenty-six million, four hundred thirty thousand, four hundred sixty-four".