2826400500 has 384 divisors, whose sum is σ = 11405721600. Its totient is φ = 587088000.

The previous prime is 2826400481. The next prime is 2826400531. The reversal of 2826400500 is 50046282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1038141 + ... + 1040859.

It is an arithmetic number, because the mean of its divisors is an integer number (29702400).

Almost surely, 2^2826400500 is an apocalyptic number.

2826400500 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 2826400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702860800).

2826400500 is an abundant number, since it is smaller than the sum of its proper divisors (8579321100).

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

2826400500 is a wasteful number, since it uses less digits than its factorization.

2826400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2826400500 is about 53163.9022269810. The cubic root of 2826400500 is about 1413.8757108768.

Adding to 2826400500 its reverse (50046282), we get a palindrome (2876446782).

The spelling of 2826400500 in words is "two billion, eight hundred twenty-six million, four hundred thousand, five hundred".