2127026064240 has 960 divisors, whose sum is σ = 9353161359360. Its totient is φ = 436360504320.

The previous prime is 2127026064223. The next prime is 2127026064259. The reversal of 2127026064240 is 424606207212.

2127026064240 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 0 + 2 + 6 + 0 + 642 + 4 + 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 = 2127026064195 and 2127026064204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118244527 + ... + 118262513.

It is an arithmetic number, because the mean of its divisors is an integer number (9742876416).

Almost surely, 2^{2127026064240} is an apocalyptic number.

2127026064240 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 2127026064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676580679680).

2127026064240 is an abundant number, since it is smaller than the sum of its proper divisors (7226135295120).

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

2127026064240 is a wasteful number, since it uses less digits than its factorization.

2127026064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18112 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2127026064240 in words is "two trillion, one hundred twenty-seven billion, twenty-six million, sixty-four thousand, two hundred forty".