2822465304 has 128 divisors (see below), whose sum is σ = 8063616000. Its totient is φ = 914239872.

The previous prime is 2822465287. The next prime is 2822465323. The reversal of 2822465304 is 4035642282.

2822465304 is a `hidden beast` number, since 2 + 82 + 2 + 46 + 530 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126289 + ... + 2127615.

It is an arithmetic number, because the mean of its divisors is an integer number (62997000).

Almost surely, 2^2822465304 is an apocalyptic number.

2822465304 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 2822465304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031808000).

2822465304 is an abundant number, since it is smaller than the sum of its proper divisors (5241150696).

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

2822465304 is a wasteful number, since it uses less digits than its factorization.

2822465304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2822465304 is about 53126.8792985246. The cubic root of 2822465304 is about 1413.2192266269.

It can be divided in two parts, 28224 and 65304, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 2822465304 in words is "two billion, eight hundred twenty-two million, four hundred sixty-five thousand, three hundred four".