2781314400 has 72 divisors (see below), whose sum is σ = 9053186184. Its totient is φ = 741683200.

The previous prime is 2781314377. The next prime is 2781314407. The reversal of 2781314400 is 44131872.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781314407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 577041 + ... + 581840.

It is an arithmetic number, because the mean of its divisors is an integer number (125738697).

Almost surely, 2^2781314400 is an apocalyptic number.

2781314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2781314400 is an abundant number, since it is smaller than the sum of its proper divisors (6271871784).

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

2781314400 is a wasteful number, since it uses less digits than its factorization.

2781314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158904 (or 1158891 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2781314400 is about 52738.1683413446. The cubic root of 2781314400 is about 1406.3174363710.

The spelling of 2781314400 in words is "two billion, seven hundred eighty-one million, three hundred fourteen thousand, four hundred".