2133537024 has 72 divisors (see below), whose sum is σ = 5697445600. Its totient is φ = 708784128.

The previous prime is 2133537023. The next prime is 2133537061. The reversal of 2133537024 is 4207353312.

It is a junction number, because it is equal to n+sod(n) for n = 2133536982 and 2133537000.

It is not an unprimeable number, because it can be changed into a prime (2133537023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231252 + ... + 240300.

Almost surely, 2^2133537024 is an apocalyptic number.

2133537024 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 2133537024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848722800).

2133537024 is an abundant number, since it is smaller than the sum of its proper divisors (3563908576).

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

2133537024 is an equidigital number, since it uses as much as digits as its factorization.

2133537024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9375 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 2133537024 is about 46190.2264986869. The cubic root of 2133537024 is about 1287.3601492487.

The spelling of 2133537024 in words is "two billion, one hundred thirty-three million, five hundred thirty-seven thousand, twenty-four".