2478393240 has 64 divisors (see below), whose sum is σ = 7460661600. Its totient is φ = 658639872.

The previous prime is 2478393209. The next prime is 2478393241. The reversal of 2478393240 is 423938742.

2478393240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2478393240² = 12284866104155395200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2478393192 and 2478393201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478393241) 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, 85 + ... + 70404.

Almost surely, 2^2478393240 is an apocalyptic number.

2478393240 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 2478393240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730330800).

2478393240 is an abundant number, since it is smaller than the sum of its proper divisors (4982268360).

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

2478393240 is a wasteful number, since it uses less digits than its factorization.

2478393240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70796 (or 70792 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2478393240 is about 49783.4635195262. The cubic root of 2478393240 is about 1353.2875049529.

The spelling of 2478393240 in words is "two billion, four hundred seventy-eight million, three hundred ninety-three thousand, two hundred forty".