2478150400 has 108 divisors (see below), whose sum is σ = 6691618584. Its totient is φ = 901120000.

The previous prime is 2478150397. The next prime is 2478150419. The reversal of 2478150400 is 40518742.

It is a super-2 number, since 2×2478150400² = 12282458810040320000, 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 11 ways as a sum of consecutive naturals, for example, 52800 + ... + 88000.

Almost surely, 2^2478150400 is an apocalyptic number.

2478150400 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 2478150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345809292).

2478150400 is an abundant number, since it is smaller than the sum of its proper divisors (4213468184).

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

2478150400 is a wasteful number, since it uses less digits than its factorization.

2478150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35238 (or 35219 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 2478150400 is about 49781.0244972921. The cubic root of 2478150400 is about 1353.2433038597.

The spelling of 2478150400 in words is "two billion, four hundred seventy-eight million, one hundred fifty thousand, four hundred".