2474630400 has 216 divisors, whose sum is σ = 8909992224. Its totient is φ = 599859200.

The previous prime is 2474630377. The next prime is 2474630401. The reversal of 2474630400 is 40364742.

It is a super-2 number, since 2×2474630400² = 12247591233208320000, 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 not an unprimeable number, because it can be changed into a prime (2474630401) 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 23 ways as a sum of consecutive naturals, for example, 205342 + ... + 217058.

It is an arithmetic number, because the mean of its divisors is an integer number (41249964).

Almost surely, 2^2474630400 is an apocalyptic number.

2474630400 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 2474630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454996112).

2474630400 is an abundant number, since it is smaller than the sum of its proper divisors (6435361824).

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

2474630400 is a wasteful number, since it uses less digits than its factorization.

2474630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11757 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2474630400 is about 49745.6570968763. The cubic root of 2474630400 is about 1352.6022782582.

The spelling of 2474630400 in words is "two billion, four hundred seventy-four million, six hundred thirty thousand, four hundred".