2107091226240 has 4608 divisors, whose sum is σ = 10943451267840. Its totient is φ = 365643694080.

The previous prime is 2107091226187. The next prime is 2107091226319. The reversal of 2107091226240 is 426221907012.

2107091226240 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 0 + 9 + 1 + 22 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2107091226195 and 2107091226204.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 25386641239 + ... + 25386641321.

Almost surely, 2^{2107091226240} is an apocalyptic number.

2107091226240 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 2107091226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471725633920).

2107091226240 is an abundant number, since it is smaller than the sum of its proper divisors (8836360041600).

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

2107091226240 is a wasteful number, since it uses less digits than its factorization.

2107091226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2107091226240 in words is "two trillion, one hundred seven billion, ninety-one million, two hundred twenty-six thousand, two hundred forty".