2826782400 has 336 divisors, whose sum is σ = 10119664800. Its totient is φ = 686653440.

The previous prime is 2826782393. The next prime is 2826782407. The reversal of 2826782400 is 42876282.

It is an interprime number because it is at equal distance from previous prime (2826782393) and next prime (2826782407).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2826782407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5553346 + ... + 5553854.

It is an arithmetic number, because the mean of its divisors is an integer number (30118050).

Almost surely, 2^2826782400 is an apocalyptic number.

2826782400 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 2826782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059832400).

2826782400 is an abundant number, since it is smaller than the sum of its proper divisors (7292882400).

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

2826782400 is a wasteful number, since it uses less digits than its factorization.

2826782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2826782400 is about 53167.4938284663. The cubic root of 2826782400 is about 1413.9393884313.

The spelling of 2826782400 in words is "two billion, eight hundred twenty-six million, seven hundred eighty-two thousand, four hundred".