2133427953150 has 576 divisors, whose sum is σ = 6755542492608. Its totient is φ = 477817159680.

The previous prime is 2133427953131. The next prime is 2133427953161. The reversal of 2133427953150 is 513597243312.

2133427953150 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 42 + 79 + 531 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2133427953096 and 2133427953105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 599781172 + ... + 599784728.

It is an arithmetic number, because the mean of its divisors is an integer number (11728372383).

Almost surely, 2^{2133427953150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133427953150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377771246304).

2133427953150 is an abundant number, since it is smaller than the sum of its proper divisors (4622114539458).

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

2133427953150 is a wasteful number, since it uses less digits than its factorization.

2133427953150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 2133427953150 in words is "two trillion, one hundred thirty-three billion, four hundred twenty-seven million, nine hundred fifty-three thousand, one hundred fifty".