2642100 has 36 divisors (see below), whose sum is σ = 7645344. Its totient is φ = 704480.

The previous prime is 2642077. The next prime is 2642111. The reversal of 2642100 is 12462.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2642100.

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, 4104 + ... + 4703.

2^2642100 is an apocalyptic number.

2642100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642100 is an abundant number, since it is smaller than the sum of its proper divisors (5003244).

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

2642100 is a wasteful number, since it uses less digits than its factorization.

2642100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2642100 is about 1625.4537827942. The cubic root of 2642100 is about 138.2451010715.

Adding to 2642100 its reverse (12462), we get a palindrome (2654562).

The spelling of 2642100 in words is "two million, six hundred forty-two thousand, one hundred".