2672434100 has 144 divisors (see below), whose sum is σ = 7004551680. Its totient is φ = 865536000.

The previous prime is 2672434073. The next prime is 2672434103. The reversal of 2672434100 is 14342762.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672434103) 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 47 ways as a sum of consecutive naturals, for example, 952700 + ... + 955500.

It is an arithmetic number, because the mean of its divisors is an integer number (48642720).

Almost surely, 2^2672434100 is an apocalyptic number.

2672434100 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 2672434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502275840).

2672434100 is an abundant number, since it is smaller than the sum of its proper divisors (4332117580).

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

2672434100 is a wasteful number, since it uses less digits than its factorization.

2672434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2672434100 is about 51695.5907210663. The cubic root of 2672434100 is about 1387.7215575639.

Adding to 2672434100 its reverse (14342762), we get a palindrome (2686776862).

The spelling of 2672434100 in words is "two billion, six hundred seventy-two million, four hundred thirty-four thousand, one hundred".