2441687891328 has 128 divisors (see below), whose sum is σ = 8235852096000. Its totient is φ = 697625104896.

The previous prime is 2441687891311. The next prime is 2441687891333. The reversal of 2441687891328 is 8231987861442.

It is a happy number.

2441687891328 is a `hidden beast` number, since 2 + 4 + 416 + 8 + 7 + 89 + 132 + 8 = 666.

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 (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 50440588 + ... + 50488971.

It is an arithmetic number, because the mean of its divisors is an integer number (64342594500).

Almost surely, 2^{2441687891328} is an apocalyptic number.

2441687891328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2441687891328 is an abundant number, since it is smaller than the sum of its proper divisors (5794164204672).

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

2441687891328 is a wasteful number, since it uses less digits than its factorization.

2441687891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100929589 (or 100929571 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 2441687891328 in words is "two trillion, four hundred forty-one billion, six hundred eighty-seven million, eight hundred ninety-one thousand, three hundred twenty-eight".