2153634280416 has 288 divisors, whose sum is σ = 6542255786976. Its totient is φ = 696480768000.

The previous prime is 2153634280297. The next prime is 2153634280489. The reversal of 2153634280416 is 6140824363512.

2153634280416 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 634 + 2 + 8 + 0 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2153634280416² (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 47 ways as a sum of consecutive naturals, for example, 57687036 + ... + 57724356.

It is an arithmetic number, because the mean of its divisors is an integer number (22716165927).

Almost surely, 2^{2153634280416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153634280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271127893488).

2153634280416 is an abundant number, since it is smaller than the sum of its proper divisors (4388621506560).

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

2153634280416 is a wasteful number, since it uses less digits than its factorization.

2153634280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37568 (or 37548 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2153634280416 in words is "two trillion, one hundred fifty-three billion, six hundred thirty-four million, two hundred eighty thousand, four hundred sixteen".