2427796800 has 840 divisors, whose sum is σ = 10564136352. Its totient is φ = 539136000.

The previous prime is 2427796771. The next prime is 2427796807. The reversal of 2427796800 is 86977242.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427796807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18532735 + ... + 18532865.

Almost surely, 2^2427796800 is an apocalyptic number.

2427796800 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 2427796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282068176).

2427796800 is an abundant number, since it is smaller than the sum of its proper divisors (8136339552).

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

2427796800 is a wasteful number, since it uses less digits than its factorization.

2427796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2427796800 is about 49272.6780274829. The cubic root of 2427796800 is about 1344.0149870778.

The spelling of 2427796800 in words is "two billion, four hundred twenty-seven million, seven hundred ninety-six thousand, eight hundred".