2133416223540 has 288 divisors, whose sum is σ = 7573584834816. Its totient is φ = 475935989760.

The previous prime is 2133416223539. The next prime is 2133416223551. The reversal of 2133416223540 is 453226143312.

2133416223540 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 416 + 2 + 235 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2133416223495 and 2133416223504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74808324 + ... + 74836836.

Almost surely, 2^{2133416223540} is an apocalyptic number.

2133416223540 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 2133416223540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786792417408).

2133416223540 is an abundant number, since it is smaller than the sum of its proper divisors (5440168611276).

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

2133416223540 is a wasteful number, since it uses less digits than its factorization.

2133416223540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29959 (or 29954 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2133416223540 in words is "two trillion, one hundred thirty-three billion, four hundred sixteen million, two hundred twenty-three thousand, five hundred forty".