2478434400 has 216 divisors, whose sum is σ = 9412210080. Its totient is φ = 610053120.

The previous prime is 2478434393. The next prime is 2478434419. The reversal of 2478434400 is 44348742.

It is a happy number.

2478434400 is a `hidden beast` number, since 247 + 8 + 4 + 3 + 4 + 400 = 666.

It is a super-2 number, since 2×2478434400² = 12285274150206720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80361 + ... + 106839.

Almost surely, 2^2478434400 is an apocalyptic number.

2478434400 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 2478434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706105040).

2478434400 is an abundant number, since it is smaller than the sum of its proper divisors (6933775680).

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

2478434400 is a wasteful number, since it uses less digits than its factorization.

2478434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26518 (or 26502 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2478434400 is about 49783.8769080914. The cubic root of 2478434400 is about 1353.2949965008.

The spelling of 2478434400 in words is "two billion, four hundred seventy-eight million, four hundred thirty-four thousand, four hundred".