2473305600 has 240 divisors, whose sum is σ = 8455954320. Its totient is φ = 636518400.

The previous prime is 2473305599. The next prime is 2473305613. The reversal of 2473305600 is 65033742.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2473305600² = 12234481181982720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1112490 + ... + 1114710.

It is an arithmetic number, because the mean of its divisors is an integer number (35233143).

Almost surely, 2^2473305600 is an apocalyptic number.

2473305600 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 2473305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227977160).

2473305600 is an abundant number, since it is smaller than the sum of its proper divisors (5982648720).

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

2473305600 is a wasteful number, since it uses less digits than its factorization.

2473305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 2473305600 is about 49732.3395789902. The cubic root of 2473305600 is about 1352.3608620903.

The spelling of 2473305600 in words is "two billion, four hundred seventy-three million, three hundred five thousand, six hundred".