2478333440 has 320 divisors, whose sum is σ = 7127543808. Its totient is φ = 815923200.

The previous prime is 2478333433. The next prime is 2478333449. The reversal of 2478333440 is 443338742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2478333440² = 12284273279644467200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2478333394 and 2478333403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478333449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14840237 + ... + 14840403.

Almost surely, 2^2478333440 is an apocalyptic number.

2478333440 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 2478333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563771904).

2478333440 is an abundant number, since it is smaller than the sum of its proper divisors (4649210368).

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

2478333440 is a wasteful number, since it uses less digits than its factorization.

2478333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The square root of 2478333440 is about 49782.8629148626. The cubic root of 2478333440 is about 1353.2766205834.

The spelling of 2478333440 in words is "two billion, four hundred seventy-eight million, three hundred thirty-three thousand, four hundred forty".