2482779600 has 720 divisors, whose sum is σ = 10578072960. Its totient is φ = 547430400.

The previous prime is 2482779577. The next prime is 2482779601. The reversal of 2482779600 is 69772842.

It is a tau number, because it is divible by the number of its divisors (720).

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 (2482779601) 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 143 ways as a sum of consecutive naturals, for example, 27896356 + ... + 27896444.

It is an arithmetic number, because the mean of its divisors is an integer number (14691768).

Almost surely, 2^2482779600 is an apocalyptic number.

2482779600 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 2482779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289036480).

2482779600 is an abundant number, since it is smaller than the sum of its proper divisors (8095293360).

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

2482779600 is a wasteful number, since it uses less digits than its factorization.

2482779600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

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

The square root of 2482779600 is about 49827.4984320907. The cubic root of 2482779600 is about 1354.0854019662.

The spelling of 2482779600 in words is "two billion, four hundred eighty-two million, seven hundred seventy-nine thousand, six hundred".