2565042100 has 36 divisors (see below), whose sum is σ = 5586739648. Its totient is φ = 1022220000.

The previous prime is 2565042049. The next prime is 2565042119. The reversal of 2565042100 is 12405652.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20226 + ... + 74425.

Almost surely, 2^2565042100 is an apocalyptic number.

2565042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565042100 is an abundant number, since it is smaller than the sum of its proper divisors (3021697548).

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

2565042100 is a wasteful number, since it uses less digits than its factorization.

2565042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94936 (or 94929 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2565042100 is about 50646.2446781595. The cubic root of 2565042100 is about 1368.8782797837.

Adding to 2565042100 its reverse (12405652), we get a palindrome (2577447752).

The spelling of 2565042100 in words is "two billion, five hundred sixty-five million, forty-two thousand, one hundred".