2378004480 has 480 divisors, whose sum is σ = 8847558720. Its totient is φ = 610467840.

The previous prime is 2378004479. The next prime is 2378004509. The reversal of 2378004480 is 844008732.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38983650 + ... + 38983710.

It is an arithmetic number, because the mean of its divisors is an integer number (18432414).

Almost surely, 2^2378004480 is an apocalyptic number.

2378004480 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 2378004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423779360).

2378004480 is an abundant number, since it is smaller than the sum of its proper divisors (6469554240).

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

2378004480 is an equidigital number, since it uses as much as digits as its factorization.

2378004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2378004480 is about 48764.7872957527. The cubic root of 2378004480 is about 1334.7631949626.

The spelling of 2378004480 in words is "two billion, three hundred seventy-eight million, four thousand, four hundred eighty".