2473948800 has 576 divisors, whose sum is σ = 9707592960. Its totient is φ = 597196800.

The previous prime is 2473948777. The next prime is 2473948801. The reversal of 2473948800 is 88493742.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-5 number, since 5×2473948800⁵ (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2473948801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15177519 + ... + 15177681.

It is an arithmetic number, because the mean of its divisors is an integer number (16853460).

Almost surely, 2^2473948800 is an apocalyptic number.

2473948800 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 2473948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853796480).

2473948800 is an abundant number, since it is smaller than the sum of its proper divisors (7233644160).

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

2473948800 is a wasteful number, since it uses less digits than its factorization.

2473948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2473948800 is about 49738.8057757723. The cubic root of 2473948800 is about 1352.4780821533.

The spelling of 2473948800 in words is "two billion, four hundred seventy-three million, nine hundred forty-eight thousand, eight hundred".