2478133480 has 64 divisors (see below), whose sum is σ = 5750196480. Its totient is φ = 960576000.

The previous prime is 2478133477. The next prime is 2478133487. The reversal of 2478133480 is 843318742.

It is a super-2 number, since 2×2478133480² = 12282291089393820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a cake number, because a cake can be divided into 2478133480 parts by 2459 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (2478133487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242637 + ... + 252643.

It is an arithmetic number, because the mean of its divisors is an integer number (89846820).

Almost surely, 2^2478133480 is an apocalyptic number.

2478133480 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 2478133480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875098240).

2478133480 is an abundant number, since it is smaller than the sum of its proper divisors (3272063000).

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

2478133480 is a wasteful number, since it uses less digits than its factorization.

2478133480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 2478133480 is about 49780.8545527294. The cubic root of 2478133480 is about 1353.2402240185.

The spelling of 2478133480 in words is "two billion, four hundred seventy-eight million, one hundred thirty-three thousand, four hundred eighty".