2533620100 has 72 divisors (see below), whose sum is σ = 6013115136. Its totient is φ = 918960000.

The previous prime is 2533620097. The next prime is 2533620101. The reversal of 2533620100 is 10263352.

It is a super-2 number, since 2×2533620100² = 12838461622248020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2533620101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460365 + ... + 465835.

It is an arithmetic number, because the mean of its divisors is an integer number (83515488).

Almost surely, 2^2533620100 is an apocalyptic number.

2533620100 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 2533620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006557568).

2533620100 is an abundant number, since it is smaller than the sum of its proper divisors (3479495036).

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

2533620100 is a wasteful number, since it uses less digits than its factorization.

2533620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2533620100 is about 50335.0782258258. The cubic root of 2533620100 is about 1363.2656707007.

Adding to 2533620100 its reverse (10263352), we get a palindrome (2543883452).

The spelling of 2533620100 in words is "two billion, five hundred thirty-three million, six hundred twenty thousand, one hundred".