2533783200 has 216 divisors, whose sum is σ = 8932115808. Its totient is φ = 623600640.

The previous prime is 2533783183. The next prime is 2533783249. The reversal of 2533783200 is 23873352.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402477 + ... + 408723.

It is an arithmetic number, because the mean of its divisors is an integer number (41352388).

Almost surely, 2^2533783200 is an apocalyptic number.

2533783200 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 2533783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466057904).

2533783200 is an abundant number, since it is smaller than the sum of its proper divisors (6398332608).

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

2533783200 is a wasteful number, since it uses less digits than its factorization.

2533783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2533783200 is about 50336.6983422632. The cubic root of 2533783200 is about 1363.2949231604.

The spelling of 2533783200 in words is "two billion, five hundred thirty-three million, seven hundred eighty-three thousand, two hundred".