2478134800 has 30 divisors (see below), whose sum is σ = 5953719818. Its totient is φ = 991253760.

The previous prime is 2478134777. The next prime is 2478134801. The reversal of 2478134800 is 84318742.

It can be written as a sum of positive squares in 3 ways, for example, as 252937216 + 2225197584 = 15904^2 + 47172^2 .

It is a super-2 number, since 2×2478134800² = 12282304173942080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2478134800.

It is not an unprimeable number, because it can be changed into a prime (2478134801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3097269 + ... + 3098068.

Almost surely, 2^2478134800 is an apocalyptic number.

2478134800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2478134800 is an abundant number, since it is smaller than the sum of its proper divisors (3475585018).

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

2478134800 is a wasteful number, since it uses less digits than its factorization.

2478134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195355 (or 6195344 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2478134800 is about 49780.8678108367. The cubic root of 2478134800 is about 1353.2404642903.

The spelling of 2478134800 in words is "two billion, four hundred seventy-eight million, one hundred thirty-four thousand, eight hundred".