2478134400 has 192 divisors, whose sum is σ = 9328658880. Its totient is φ = 566415360.

The previous prime is 2478134359. The next prime is 2478134411. The reversal of 2478134400 is 44318742.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2478134400² = 12282300208926720000, which contains 22 as substring.

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, 48762 + ... + 85638.

It is an arithmetic number, because the mean of its divisors is an integer number (48586765).

Almost surely, 2^2478134400 is an apocalyptic number.

2478134400 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 2478134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664329440).

2478134400 is an abundant number, since it is smaller than the sum of its proper divisors (6850524480).

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

2478134400 is a wasteful number, since it uses less digits than its factorization.

2478134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36911 (or 36894 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2478134400 is about 49780.8637932288. The cubic root of 2478134400 is about 1353.2403914807.

The spelling of 2478134400 in words is "two billion, four hundred seventy-eight million, one hundred thirty-four thousand, four hundred".