2133414665784 has 160 divisors (see below), whose sum is σ = 6139789405200. Its totient is φ = 691608015360.

The previous prime is 2133414665761. The next prime is 2133414665849. The reversal of 2133414665784 is 4875664143312.

2133414665784 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 4 + 1 + 4 + 66 + 578 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2133414665784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56828332 + ... + 56865860.

Almost surely, 2^{2133414665784} is an apocalyptic number.

2133414665784 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 2133414665784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069894702600).

2133414665784 is an abundant number, since it is smaller than the sum of its proper divisors (4006374739416).

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

2133414665784 is a wasteful number, since it uses less digits than its factorization.

2133414665784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39955 (or 39942 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 2133414665784 in words is "two trillion, one hundred thirty-three billion, four hundred fourteen million, six hundred sixty-five thousand, seven hundred eighty-four".