2135296444320 has 1152 divisors, whose sum is σ = 8376248724480. Its totient is φ = 491373527040.

The previous prime is 2135296444319. The next prime is 2135296444331. The reversal of 2135296444320 is 234446925312.

2135296444320 is a `hidden beast` number, since 2 + 1 + 3 + 529 + 64 + 4 + 43 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3946943250 + ... + 3946943790.

It is an arithmetic number, because the mean of its divisors is an integer number (7271049240).

Almost surely, 2^{2135296444320} is an apocalyptic number.

2135296444320 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 2135296444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188124362240).

2135296444320 is an abundant number, since it is smaller than the sum of its proper divisors (6240952280160).

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

2135296444320 is a wasteful number, since it uses less digits than its factorization.

2135296444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2135296444320 in words is "two trillion, one hundred thirty-five billion, two hundred ninety-six million, four hundred forty-four thousand, three hundred twenty".