2440671906816 has 1056 divisors, whose sum is σ = 8676347516928. Its totient is φ = 675549020160.

The previous prime is 2440671906689. The next prime is 2440671906817. The reversal of 2440671906816 is 6186091760442.

2440671906816 is a `hidden beast` number, since 2 + 4 + 406 + 71 + 90 + 6 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2440671906817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4020875985 + ... + 4020876591.

Almost surely, 2^{2440671906816} is an apocalyptic number.

2440671906816 is a gapful number since it is divisible by the number (26) 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 2440671906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338173758464).

2440671906816 is an abundant number, since it is smaller than the sum of its proper divisors (6235675610112).

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

2440671906816 is a wasteful number, since it uses less digits than its factorization.

2440671906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2440671906816 in words is "two trillion, four hundred forty billion, six hundred seventy-one million, nine hundred six thousand, eight hundred sixteen".