2478164000 has 96 divisors (see below), whose sum is σ = 6557359536. Its totient is φ = 914995200.

The previous prime is 2478163991. The next prime is 2478164021. The reversal of 2478164000 is 4618742.

It can be written as a sum of positive squares in 8 ways, for example, as 34245904 + 2443918096 = 5852^2 + 49436^2 .

It is a super-2 number, since 2×2478164000² = 12282593621792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 28172 + ... + 75828.

Almost surely, 2^2478164000 is an apocalyptic number.

2478164000 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 2478164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278679768).

2478164000 is an abundant number, since it is smaller than the sum of its proper divisors (4079195536).

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

2478164000 is a wasteful number, since it uses less digits than its factorization.

2478164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47695 (or 47677 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2478164000 is about 49781.1610953381. The cubic root of 2478164000 is about 1353.2457793720.

The spelling of 2478164000 in words is "two billion, four hundred seventy-eight million, one hundred sixty-four thousand".