2033826144 has 288 divisors, whose sum is σ = 6810259680. Its totient is φ = 527450112.

The previous prime is 2033826121. The next prime is 2033826149. The reversal of 2033826144 is 4416283302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033826149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2318634 + ... + 2319510.

It is an arithmetic number, because the mean of its divisors is an integer number (23646735).

Almost surely, 2^2033826144 is an apocalyptic number.

2033826144 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 2033826144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405129840).

2033826144 is an abundant number, since it is smaller than the sum of its proper divisors (4776433536).

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

2033826144 is a wasteful number, since it uses less digits than its factorization.

2033826144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2033826144 is about 45097.9616390808. The cubic root of 2033826144 is about 1266.9844223434.

The spelling of 2033826144 in words is "two billion, thirty-three million, eight hundred twenty-six thousand, one hundred forty-four".