2133515940480 has 192 divisors, whose sum is σ = 7468220583720. Its totient is φ = 561143808000.

The previous prime is 2133515940469. The next prime is 2133515940499. The reversal of 2133515940480 is 840495153312.

2133515940480 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 51 + 594 + 0 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1102348805184 + 1031167135296 = 1049928^2 + 1015464^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2116521 + ... + 2957480.

Almost surely, 2^{2133515940480} is an apocalyptic number.

2133515940480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133515940480 is an abundant number, since it is smaller than the sum of its proper divisors (5334704643240).

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

2133515940480 is a wasteful number, since it uses less digits than its factorization.

2133515940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074099 (or 5074084 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2133515940480 in words is "two trillion, one hundred thirty-three billion, five hundred fifteen million, nine hundred forty thousand, four hundred eighty".