2478729600 has 480 divisors, whose sum is σ = 9343140840. Its totient is φ = 646963200.

The previous prime is 2478729587. The next prime is 2478729601. The reversal of 2478729600 is 69278742.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2478729600² = 12288200859832320000, which contains 22 as substring.

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 (2478729601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18921535 + ... + 18921665.

Almost surely, 2^2478729600 is an apocalyptic number.

2478729600 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 2478729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671570420).

2478729600 is an abundant number, since it is smaller than the sum of its proper divisors (6864411240).

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

2478729600 is a wasteful number, since it uses less digits than its factorization.

2478729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

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

The square root of 2478729600 is about 49786.8416351148. The cubic root of 2478729600 is about 1353.3487235396.

The spelling of 2478729600 in words is "two billion, four hundred seventy-eight million, seven hundred twenty-nine thousand, six hundred".