2107668239040 has 448 divisors, whose sum is σ = 8250940486656. Its totient is φ = 443894611968.

The previous prime is 2107668239021. The next prime is 2107668239041. The reversal of 2107668239040 is 409328667012.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (2107668239041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49162254 + ... + 49205106.

It is an arithmetic number, because the mean of its divisors is an integer number (18417277872).

Almost surely, 2^{2107668239040} is an apocalyptic number.

2107668239040 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 2107668239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125470243328).

2107668239040 is an abundant number, since it is smaller than the sum of its proper divisors (6143272247616).

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

2107668239040 is a wasteful number, since it uses less digits than its factorization.

2107668239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43456 (or 43446 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 2107668239040 in words is "two trillion, one hundred seven billion, six hundred sixty-eight million, two hundred thirty-nine thousand, forty".