2478705840 has 320 divisors, whose sum is σ = 9423146880. Its totient is φ = 594984960.

The previous prime is 2478705839. The next prime is 2478705907. The reversal of 2478705840 is 485078742.

It is a super-2 number, since 2×2478705840² = 12287965282500211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150204 + ... + 1152356.

It is an arithmetic number, because the mean of its divisors is an integer number (29447334).

Almost surely, 2^2478705840 is an apocalyptic number.

2478705840 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 2478705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711573440).

2478705840 is an abundant number, since it is smaller than the sum of its proper divisors (6944441040).

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

2478705840 is a wasteful number, since it uses less digits than its factorization.

2478705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2478705840 is about 49786.6030172776. The cubic root of 2478705840 is about 1353.3443993260.

The spelling of 2478705840 in words is "two billion, four hundred seventy-eight million, seven hundred five thousand, eight hundred forty".