2642531100 has 108 divisors (see below), whose sum is σ = 8404092312. Its totient is φ = 640604800.

The previous prime is 2642531033. The next prime is 2642531107. The reversal of 2642531100 is 11352462.

It is a super-2 number, since 2×2642531100² = 13965941228934420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642531107) 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, 99 + ... + 72698.

Almost surely, 2^2642531100 is an apocalyptic number.

2642531100 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 2642531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202046156).

2642531100 is an abundant number, since it is smaller than the sum of its proper divisors (5761561212).

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

2642531100 is a wasteful number, since it uses less digits than its factorization.

2642531100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72836 (or 72818 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2642531100 is about 51405.5551472796. Note that the first 3 decimals coincide. The cubic root of 2642531100 is about 1382.5261961383.

Adding to 2642531100 its reverse (11352462), we get a palindrome (2653883562).

The spelling of 2642531100 in words is "two billion, six hundred forty-two million, five hundred thirty-one thousand, one hundred".