2109384426240 has 3240 divisors, whose sum is σ = 10201773692880. Its totient is φ = 411349155840.

The previous prime is 2109384426173. The next prime is 2109384426293. The reversal of 2109384426240 is 426244839012.

2109384426240 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 384 + 4 + 26 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 51448400620 + ... + 51448400660.

Almost surely, 2^{2109384426240} is an apocalyptic number.

2109384426240 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 2109384426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100886846440).

2109384426240 is an abundant number, since it is smaller than the sum of its proper divisors (8092389266640).

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

2109384426240 is a wasteful number, since it uses less digits than its factorization.

2109384426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2109384426240 in words is "two trillion, one hundred nine billion, three hundred eighty-four million, four hundred twenty-six thousand, two hundred forty".