2553133440 has 512 divisors, whose sum is σ = 10141770240. Its totient is φ = 536739840.

The previous prime is 2553133399. The next prime is 2553133447. The reversal of 2553133440 is 443313552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2553133398 and 2553133407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553133447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4667247 + ... + 4667793.

It is an arithmetic number, because the mean of its divisors is an integer number (19808145).

Almost surely, 2^2553133440 is an apocalyptic number.

2553133440 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 2553133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070885120).

2553133440 is an abundant number, since it is smaller than the sum of its proper divisors (7588636800).

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

2553133440 is a wasteful number, since it uses less digits than its factorization.

2553133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2553133440 is about 50528.5408457438. The cubic root of 2553133440 is about 1366.7565733701.

Adding to 2553133440 its reverse (443313552), we get a palindrome (2996446992).

The spelling of 2553133440 in words is "two billion, five hundred fifty-three million, one hundred thirty-three thousand, four hundred forty".