2145536633120 has 192 divisors, whose sum is σ = 5382308010240. Its totient is φ = 806470545408.

The previous prime is 2145536633117. The next prime is 2145536633197. The reversal of 2145536633120 is 213366355412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607282874 + ... + 607286406.

It is an arithmetic number, because the mean of its divisors is an integer number (28032854220).

Almost surely, 2^{2145536633120} is an apocalyptic number.

2145536633120 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 2145536633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691154005120).

2145536633120 is an abundant number, since it is smaller than the sum of its proper divisors (3236771377120).

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

2145536633120 is a wasteful number, since it uses less digits than its factorization.

2145536633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 2145536633120 in words is "two trillion, one hundred forty-five billion, five hundred thirty-six million, six hundred thirty-three thousand, one hundred twenty".