2381667456 has 128 divisors (see below), whose sum is σ = 7479619200. Its totient is φ = 656990208.

The previous prime is 2381667443. The next prime is 2381667493. The reversal of 2381667456 is 6547661832.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62676 + ... + 93228.

It is an arithmetic number, because the mean of its divisors is an integer number (58434525).

Almost surely, 2^2381667456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739809600).

2381667456 is an abundant number, since it is smaller than the sum of its proper divisors (5097951744).

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

2381667456 is a wasteful number, since it uses less digits than its factorization.

2381667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30606 (or 30594 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 2381667456 is about 48802.3304361585. The cubic root of 2381667456 is about 1335.4481806809.

The spelling of 2381667456 in words is "two billion, three hundred eighty-one million, six hundred sixty-seven thousand, four hundred fifty-six".