2601323100 has 180 divisors, whose sum is σ = 8613136224. Its totient is φ = 678827520.

The previous prime is 2601323089. The next prime is 2601323129. The reversal of 2601323100 is 13231062.

2601323100 is a `hidden beast` number, since 2 + 601 + 32 + 31 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2601323100² = 13533763741187220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 377284 + ... + 384116.

Almost surely, 2^2601323100 is an apocalyptic number.

2601323100 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 2601323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306568112).

2601323100 is an abundant number, since it is smaller than the sum of its proper divisors (6011813124).

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

2601323100 is a wasteful number, since it uses less digits than its factorization.

2601323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2601323100 is about 51003.1675486925. The cubic root of 2601323100 is about 1375.3020779833.

Adding to 2601323100 its reverse (13231062), we get a palindrome (2614554162).

The spelling of 2601323100 in words is "two billion, six hundred one million, three hundred twenty-three thousand, one hundred".