2134479275760 has 160 divisors (see below), whose sum is σ = 7144682711040. Its totient is φ = 524023686144.

The previous prime is 2134479275749. The next prime is 2134479275767. The reversal of 2134479275760 is 675729744312.

It is a self number, because there is not a number n which added to its sum of digits gives 2134479275760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134479275767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279937 + ... + 2085023.

It is an arithmetic number, because the mean of its divisors is an integer number (44654266944).

Almost surely, 2^{2134479275760} is an apocalyptic number.

2134479275760 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 2134479275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572341355520).

2134479275760 is an abundant number, since it is smaller than the sum of its proper divisors (5010203435280).

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

2134479275760 is a wasteful number, since it uses less digits than its factorization.

2134479275760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805495 (or 1805489 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 2134479275760 in words is "two trillion, one hundred thirty-four billion, four hundred seventy-nine million, two hundred seventy-five thousand, seven hundred sixty".