2552435100 has 108 divisors (see below), whose sum is σ = 8010105376. Its totient is φ = 679829760.

The previous prime is 2552435089. The next prime is 2552435101. The reversal of 2552435100 is 15342552.

It is a happy number.

2552435100 is a `hidden beast` number, since 2 + 5 + 524 + 35 + 100 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552435101) 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, 1279704 + ... + 1281696.

Almost surely, 2^2552435100 is an apocalyptic number.

2552435100 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 2552435100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005052688).

2552435100 is an abundant number, since it is smaller than the sum of its proper divisors (5457670276).

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

2552435100 is a wasteful number, since it uses less digits than its factorization.

2552435100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2552435100 is about 50521.6300212097. The cubic root of 2552435100 is about 1366.6319490156.

Adding to 2552435100 its reverse (15342552), we get a palindrome (2567777652).

The spelling of 2552435100 in words is "two billion, five hundred fifty-two million, four hundred thirty-five thousand, one hundred".