2107021985640 has 384 divisors, whose sum is σ = 8313791270400. Its totient is φ = 471501043200.

The previous prime is 2107021985623. The next prime is 2107021985641. The reversal of 2107021985640 is 465891207012.

2107021985640 is a `hidden beast` number, since 2 + 1 + 0 + 70 + 2 + 19 + 8 + 564 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2107021985641) 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, 1078705 + ... + 2318975.

It is an arithmetic number, because the mean of its divisors is an integer number (21650498100).

Almost surely, 2^{2107021985640} is an apocalyptic number.

2107021985640 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 2107021985640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156895635200).

2107021985640 is an abundant number, since it is smaller than the sum of its proper divisors (6206769284760).

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

2107021985640 is a wasteful number, since it uses less digits than its factorization.

2107021985640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240326 (or 1240305 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2107021985640 in words is "two trillion, one hundred seven billion, twenty-one million, nine hundred eighty-five thousand, six hundred forty".