2553585300 has 432 divisors, whose sum is σ = 9817621632. Its totient is φ = 541900800.

The previous prime is 2553585277. The next prime is 2553585337. The reversal of 2553585300 is 35853552.

2553585300 is a `hidden beast` number, since 2 + 553 + 58 + 53 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12102195 + ... + 12102405.

It is an arithmetic number, because the mean of its divisors is an integer number (22725976).

Almost surely, 2^2553585300 is an apocalyptic number.

2553585300 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 2553585300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908810816).

2553585300 is an abundant number, since it is smaller than the sum of its proper divisors (7264036332).

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

2553585300 is a wasteful number, since it uses less digits than its factorization.

2553585300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2553585300 is about 50533.0119822676. The cubic root of 2553585300 is about 1366.8371992898.

The spelling of 2553585300 in words is "two billion, five hundred fifty-three million, five hundred eighty-five thousand, three hundred".