2553204240 has 400 divisors, whose sum is σ = 9523819008. Its totient is φ = 632282112.

The previous prime is 2553204229. The next prime is 2553204259. The reversal of 2553204240 is 424023552.

It is a happy number.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 5514249 + ... + 5514711.

Almost surely, 2^2553204240 is an apocalyptic number.

2553204240 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 2553204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761909504).

2553204240 is an abundant number, since it is smaller than the sum of its proper divisors (6970614768).

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

2553204240 is a wasteful number, since it uses less digits than its factorization.

2553204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2553204240 is about 50529.2414350344. The cubic root of 2553204240 is about 1366.7692069272.

Adding to 2553204240 its reverse (424023552), we get a palindrome (2977227792).

It can be divided in two parts, 255320 and 4240, that added together give a triangular number (259560 = T₇₂₀).

The spelling of 2553204240 in words is "two billion, five hundred fifty-three million, two hundred four thousand, two hundred forty".