2533770720 has 384 divisors, whose sum is σ = 9685630080. Its totient is φ = 622577664.

The previous prime is 2533770697. The next prime is 2533770721. The reversal of 2533770720 is 270773352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533770721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4548682 + ... + 4549238.

It is an arithmetic number, because the mean of its divisors is an integer number (25222995).

Almost surely, 2^2533770720 is an apocalyptic number.

2533770720 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 2533770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842815040).

2533770720 is an abundant number, since it is smaller than the sum of its proper divisors (7151859360).

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

2533770720 is an equidigital number, since it uses as much as digits as its factorization.

2533770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 2533770720 is about 50336.5743768882. The cubic root of 2533770720 is about 1363.2926848805.

The spelling of 2533770720 in words is "two billion, five hundred thirty-three million, seven hundred seventy thousand, seven hundred twenty".