2378073984 has 384 divisors, whose sum is σ = 7779287040. Its totient is φ = 638668800.

The previous prime is 2378073949. The next prime is 2378073989. The reversal of 2378073984 is 4893708732.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378073989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18724929 + ... + 18725055.

It is an arithmetic number, because the mean of its divisors is an integer number (20258560).

Almost surely, 2^2378073984 is an apocalyptic number.

2378073984 is a gapful number since it is divisible by the number (24) 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 2378073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889643520).

2378073984 is an abundant number, since it is smaller than the sum of its proper divisors (5401213056).

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

2378073984 is a wasteful number, since it uses less digits than its factorization.

2378073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 2378073984 is about 48765.4999359178. The cubic root of 2378073984 is about 1334.7761989298.

The spelling of 2378073984 in words is "two billion, three hundred seventy-eight million, seventy-three thousand, nine hundred eighty-four".