2864400000 has 768 divisors, whose sum is σ = 12239216640. Its totient is φ = 576000000.

The previous prime is 2864399981. The next prime is 2864400047. The reversal of 2864400000 is 44682.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 92399985 + ... + 92400015.

It is an arithmetic number, because the mean of its divisors is an integer number (15936480).

Almost surely, 2^2864400000 is an apocalyptic number.

2864400000 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 2864400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119608320).

2864400000 is an abundant number, since it is smaller than the sum of its proper divisors (9374816640).

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

2864400000 is an equidigital number, since it uses as much as digits as its factorization.

2864400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2864400000 is about 53520.0896860235. The cubic root of 2864400000 is about 1420.1838021684.

Adding to 2864400000 its reverse (44682), we get a palindrome (2864444682).

The spelling of 2864400000 in words is "two billion, eight hundred sixty-four million, four hundred thousand".