2780282400 has 288 divisors, whose sum is σ = 10516076928. Its totient is φ = 624844800.

The previous prime is 2780282381. The next prime is 2780282413. The reversal of 2780282400 is 42820872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023444 + ... + 1026156.

It is an arithmetic number, because the mean of its divisors is an integer number (36514156).

Almost surely, 2^2780282400 is an apocalyptic number.

2780282400 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 2780282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258038464).

2780282400 is an abundant number, since it is smaller than the sum of its proper divisors (7735794528).

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

2780282400 is a wasteful number, since it uses less digits than its factorization.

2780282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2780282400 is about 52728.3832484934. The cubic root of 2780282400 is about 1406.1434779560.

The spelling of 2780282400 in words is "two billion, seven hundred eighty million, two hundred eighty-two thousand, four hundred".