2135294509460 has 192 divisors, whose sum is σ = 5493956751360. Its totient is φ = 680446525440.

The previous prime is 2135294509441. The next prime is 2135294509499. The reversal of 2135294509460 is 649054925312.

It is a junction number, because it is equal to n+sod(n) for n = 2135294509399 and 2135294509408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182794820 + ... + 182806500.

It is an arithmetic number, because the mean of its divisors is an integer number (28614358080).

Almost surely, 2^{2135294509460} is an apocalyptic number.

2135294509460 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 2135294509460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746978375680).

2135294509460 is an abundant number, since it is smaller than the sum of its proper divisors (3358662241900).

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

2135294509460 is a wasteful number, since it uses less digits than its factorization.

2135294509460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12666 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 2135294509460 in words is "two trillion, one hundred thirty-five billion, two hundred ninety-four million, five hundred nine thousand, four hundred sixty".