2533190400 has 648 divisors, whose sum is σ = 10379023200. Its totient is φ = 583925760.

The previous prime is 2533190377. The next prime is 2533190419. The reversal of 2533190400 is 40913352.

2533190400 is a `hidden beast` number, since 2 + 533 + 1 + 90 + 40 + 0 = 666.

2533190400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12729501 + ... + 12729699.

Almost surely, 2^2533190400 is an apocalyptic number.

2533190400 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 2533190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189511600).

2533190400 is an abundant number, since it is smaller than the sum of its proper divisors (7845832800).

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

2533190400 is a wasteful number, since it uses less digits than its factorization.

2533190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2533190400 is about 50330.8096497563. The cubic root of 2533190400 is about 1363.1885967439.

The spelling of 2533190400 in words is "two billion, five hundred thirty-three million, one hundred ninety thousand, four hundred".