2562106430100 has 288 divisors, whose sum is σ = 8502730512640. Its totient is φ = 583506063360.

The previous prime is 2562106430071. The next prime is 2562106430101. The reversal of 2562106430100 is 10346012652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562106430101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1247980674 + ... + 1247982726.

Almost surely, 2^{2562106430100} is an apocalyptic number.

2562106430100 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 2562106430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251365256320).

2562106430100 is an abundant number, since it is smaller than the sum of its proper divisors (5940624082540).

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

2562106430100 is a wasteful number, since it uses less digits than its factorization.

2562106430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 2562106430100 in words is "two trillion, five hundred sixty-two billion, one hundred six million, four hundred thirty thousand, one hundred".