2826240000 has 340 divisors, whose sum is σ = 9827179296. Its totient is φ = 720896000.

The previous prime is 2826239917. The next prime is 2826240047. The reversal of 2826240000 is 426282.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122879989 + ... + 122880011.

Almost surely, 2^2826240000 is an apocalyptic number.

2826240000 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 2826240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913589648).

2826240000 is an abundant number, since it is smaller than the sum of its proper divisors (7000939296).

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

2826240000 is an frugal number, since it uses more digits than its factorization.

2826240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

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

The square root of 2826240000 is about 53162.3927226757. The cubic root of 2826240000 is about 1413.8489475846.

Adding to 2826240000 its reverse (426282), we get a palindrome (2826666282).

The spelling of 2826240000 in words is "two billion, eight hundred twenty-six million, two hundred forty thousand".