2553348096 has 340 divisors, whose sum is σ = 8437302412. Its totient is φ = 764411904.

The previous prime is 2553348073. The next prime is 2553348097. The reversal of 2553348096 is 6908433552.

2553348096 is a `hidden beast` number, since 2 + 55 + 33 + 480 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1358954496 + 1194393600 = 36864^2 + 34560^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2553348097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69009390 + ... + 69009426.

Almost surely, 2^2553348096 is an apocalyptic number.

2553348096 is a gapful number since it is divisible by the number (26) 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 2553348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218651206).

2553348096 is an abundant number, since it is smaller than the sum of its proper divisors (5883954316).

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

2553348096 is an frugal number, since it uses more digits than its factorization.

2553348096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2553348096 is about 50530.6649075589. The cubic root of 2553348096 is about 1366.7948758827.

The spelling of 2553348096 in words is "two billion, five hundred fifty-three million, three hundred forty-eight thousand, ninety-six".