2865306400 has 144 divisors (see below), whose sum is σ = 8032923360. Its totient is φ = 987033600.

The previous prime is 2865306383. The next prime is 2865306439. The reversal of 2865306400 is 46035682.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 158632 + ... + 175768.

It is an arithmetic number, because the mean of its divisors is an integer number (55784190).

Almost surely, 2^2865306400 is an apocalyptic number.

2865306400 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 2865306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016461680).

2865306400 is an abundant number, since it is smaller than the sum of its proper divisors (5167616960).

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

2865306400 is a wasteful number, since it uses less digits than its factorization.

2865306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17187 (or 17174 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2865306400 is about 53528.5568645373. The cubic root of 2865306400 is about 1420.3335855837. Note that the first 3 decimals are identical.

The spelling of 2865306400 in words is "two billion, eight hundred sixty-five million, three hundred six thousand, four hundred".