2473530400 has 288 divisors, whose sum is σ = 6999302016. Its totient is φ = 851840000.

The previous prime is 2473530391. The next prime is 2473530407. The reversal of 2473530400 is 40353742.

It is a super-2 number, since 2×2473530400² = 12236705279448320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2473530407) 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 47 ways as a sum of consecutive naturals, for example, 24490350 + ... + 24490450.

It is an arithmetic number, because the mean of its divisors is an integer number (24303132).

Almost surely, 2^2473530400 is an apocalyptic number.

2473530400 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 2473530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499651008).

2473530400 is an abundant number, since it is smaller than the sum of its proper divisors (4525771616).

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

2473530400 is a wasteful number, since it uses less digits than its factorization.

2473530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2473530400 is about 49734.5996264170. The cubic root of 2473530400 is about 1352.4018331038.

The spelling of 2473530400 in words is "two billion, four hundred seventy-three million, five hundred thirty thousand, four hundred".