2135062347264 has 1280 divisors, whose sum is σ = 8236272844800. Its totient is φ = 529912627200.

The previous prime is 2135062347247. The next prime is 2135062347289. The reversal of 2135062347264 is 4627432605312.

2135062347264 is a `hidden beast` number, since 2 + 1 + 350 + 6 + 2 + 34 + 7 + 264 = 666.

It is a super-2 number, since 2×2135062347264² (a number of 25 digits) contains 22 as substring.

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, 2936811669 + ... + 2936812395.

It is an arithmetic number, because the mean of its divisors is an integer number (6434588160).

Almost surely, 2^{2135062347264} is an apocalyptic number.

2135062347264 is a gapful number since it is divisible by the number (24) 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 2135062347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118136422400).

2135062347264 is an abundant number, since it is smaller than the sum of its proper divisors (6101210497536).

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

2135062347264 is a wasteful number, since it uses less digits than its factorization.

2135062347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2135062347264 in words is "two trillion, one hundred thirty-five billion, sixty-two million, three hundred forty-seven thousand, two hundred sixty-four".