2533401000 has 384 divisors, whose sum is σ = 9403430400. Its totient is φ = 611366400.

The previous prime is 2533400983. The next prime is 2533401041. The reversal of 2533401000 is 1043352.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6902817 + ... + 6903183.

It is an arithmetic number, because the mean of its divisors is an integer number (24488100).

Almost surely, 2^2533401000 is an apocalyptic number.

2533401000 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 2533401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701715200).

2533401000 is an abundant number, since it is smaller than the sum of its proper divisors (6870029400).

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

2533401000 is a wasteful number, since it uses less digits than its factorization.

2533401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2533401000 is about 50332.9017641542. The cubic root of 2533401000 is about 1363.2263725019.

Adding to 2533401000 its reverse (1043352), we get a palindrome (2534444352).

The spelling of 2533401000 in words is "two billion, five hundred thirty-three million, four hundred one thousand".