2553435630 has 128 divisors (see below), whose sum is σ = 7015680000. Its totient is φ = 660576384.

The previous prime is 2553435629. The next prime is 2553435637. The reversal of 2553435630 is 365343552.

2553435630 is a `hidden beast` number, since 2 + 5 + 53 + 43 + 563 + 0 = 666.

2553435630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553435637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1257456 + ... + 1259484.

It is an arithmetic number, because the mean of its divisors is an integer number (54810000).

Almost surely, 2^2553435630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553435630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840000).

2553435630 is an abundant number, since it is smaller than the sum of its proper divisors (4462244370).

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

2553435630 is a wasteful number, since it uses less digits than its factorization.

2553435630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 2553435630 is about 50531.5310474559. The cubic root of 2553435630 is about 1366.8104945464.

The spelling of 2553435630 in words is "two billion, five hundred fifty-three million, four hundred thirty-five thousand, six hundred thirty".