2533040640 has 320 divisors, whose sum is σ = 9693129600. Its totient is φ = 623296512.

The previous prime is 2533040633. The next prime is 2533040693. The reversal of 2533040640 is 460403352.

2533040640 is a `hidden beast` number, since 253 + 3 + 0 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 897151 + ... + 899969.

It is an arithmetic number, because the mean of its divisors is an integer number (30291030).

Almost surely, 2^2533040640 is an apocalyptic number.

2533040640 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 2533040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846564800).

2533040640 is an abundant number, since it is smaller than the sum of its proper divisors (7160088960).

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

2533040640 is a wasteful number, since it uses less digits than its factorization.

2533040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2533040640 is about 50329.3218710525. The cubic root of 2533040640 is about 1363.1617327088.

Adding to 2533040640 its reverse (460403352), we get a palindrome (2993443992).

The spelling of 2533040640 in words is "two billion, five hundred thirty-three million, forty thousand, six hundred forty".