2133417540 has 24 divisors (see below), whose sum is σ = 5973569280. Its totient is φ = 568911328.

The previous prime is 2133417491. The next prime is 2133417541. The reversal of 2133417540 is 457143312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2133417498 and 2133417507.

It is not an unprimeable number, because it can be changed into a prime (2133417541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17778420 + ... + 17778539.

It is an arithmetic number, because the mean of its divisors is an integer number (248898720).

Almost surely, 2^2133417540 is an apocalyptic number.

2133417540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133417540 is an abundant number, since it is smaller than the sum of its proper divisors (3840151740).

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

2133417540 is a wasteful number, since it uses less digits than its factorization.

2133417540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35556971 (or 35556969 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2133417540 is about 46188.9330900812. The cubic root of 2133417540 is about 1287.3361168852.

The spelling of 2133417540 in words is "two billion, one hundred thirty-three million, four hundred seventeen thousand, five hundred forty".