2109040191360 has 1024 divisors, whose sum is σ = 8046673920000. Its totient is φ = 520875048960.

The previous prime is 2109040191263. The next prime is 2109040191431. The reversal of 2109040191360 is 631910409012.

It is a happy number.

2109040191360 is a `hidden beast` number, since 2 + 109 + 0 + 4 + 0 + 191 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1972908906 + ... + 1972909974.

It is an arithmetic number, because the mean of its divisors is an integer number (7858080000).

Almost surely, 2^{2109040191360} is an apocalyptic number.

2109040191360 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 2109040191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023336960000).

2109040191360 is an abundant number, since it is smaller than the sum of its proper divisors (5937633728640).

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

2109040191360 is a wasteful number, since it uses less digits than its factorization.

2109040191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 2109040191360 in words is "two trillion, one hundred nine billion, forty million, one hundred ninety-one thousand, three hundred sixty".