2478408240 has 800 divisors, whose sum is σ = 10803165696. Its totient is φ = 463626240.

The previous prime is 2478408239. The next prime is 2478408253. The reversal of 2478408240 is 428048742.

It is a super-2 number, since 2×2478408240² = 12285014808199795200, 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 159 ways as a sum of consecutive naturals, for example, 107756869 + ... + 107756891.

Almost surely, 2^2478408240 is an apocalyptic number.

2478408240 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 2478408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401582848).

2478408240 is an abundant number, since it is smaller than the sum of its proper divisors (8324757456).

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

2478408240 is a wasteful number, since it uses less digits than its factorization.

2478408240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 2478408240 is about 49783.6141717333. The cubic root of 2478408240 is about 1353.2902351185.

The spelling of 2478408240 in words is "two billion, four hundred seventy-eight million, four hundred eight thousand, two hundred forty".