2150092304640 has 2016 divisors, whose sum is σ = 9516159555840. Its totient is φ = 455637270528.

The previous prime is 2150092304621. The next prime is 2150092304651. The reversal of 2150092304640 is 464032900512.

It is a happy number.

2150092304640 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 0 + 9 + 2 + 3 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 = 2150092304595 and 2150092304604.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 32090929887 + ... + 32090929953.

It is an arithmetic number, because the mean of its divisors is an integer number (4720317240).

Almost surely, 2^{2150092304640} is an apocalyptic number.

2150092304640 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 2150092304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758079777920).

2150092304640 is an abundant number, since it is smaller than the sum of its proper divisors (7366067251200).

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

2150092304640 is an frugal number, since it uses more digits than its factorization.

2150092304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2150092304640 in words is "two trillion, one hundred fifty billion, ninety-two million, three hundred four thousand, six hundred forty".