2553103872 has 360 divisors, whose sum is σ = 8560832280. Its totient is φ = 729907200.

The previous prime is 2553103871. The next prime is 2553103879. The reversal of 2553103872 is 2783013552.

It is a happy number.

2553103872 is a `hidden beast` number, since 2 + 553 + 1 + 0 + 38 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553103871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10593672 + ... + 10593912.

Almost surely, 2^2553103872 is an apocalyptic number.

2553103872 is a gapful number since it is divisible by the number (22) 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 2553103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280416140).

2553103872 is an abundant number, since it is smaller than the sum of its proper divisors (6007728408).

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

2553103872 is a wasteful number, since it uses less digits than its factorization.

2553103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2553103872 is about 50528.2482577815. The cubic root of 2553103872 is about 1366.7512971850.

The spelling of 2553103872 in words is "two billion, five hundred fifty-three million, one hundred three thousand, eight hundred seventy-two".