2133462540 has 96 divisors (see below), whose sum is σ = 6655509504. Its totient is φ = 506191360.

The previous prime is 2133462533. The next prime is 2133462553. The reversal of 2133462540 is 452643312.

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 = 2133462498 and 2133462507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3369 + ... + 65408.

It is an arithmetic number, because the mean of its divisors is an integer number (69328224).

Almost surely, 2^2133462540 is an apocalyptic number.

2133462540 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 2133462540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327754752).

2133462540 is an abundant number, since it is smaller than the sum of its proper divisors (4522046964).

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

2133462540 is a wasteful number, since it uses less digits than its factorization.

2133462540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68847 (or 68845 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2133462540 is about 46189.4202171883. The cubic root of 2133462540 is about 1287.3451680464.

The spelling of 2133462540 in words is "two billion, one hundred thirty-three million, four hundred sixty-two thousand, five hundred forty".