2672784600 has 96 divisors (see below), whose sum is σ = 8293873920. Its totient is φ = 712033920.

The previous prime is 2672784599. The next prime is 2672784607. The reversal of 2672784600 is 64872762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672784607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924357 + ... + 927243.

It is an arithmetic number, because the mean of its divisors is an integer number (86394520).

Almost surely, 2^2672784600 is an apocalyptic number.

2672784600 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 2672784600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146936960).

2672784600 is an abundant number, since it is smaller than the sum of its proper divisors (5621089320).

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

2672784600 is a wasteful number, since it uses less digits than its factorization.

2672784600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 2672784600 is about 51698.9806475911. The cubic root of 2672784600 is about 1387.7822232498.

The spelling of 2672784600 in words is "two billion, six hundred seventy-two million, seven hundred eighty-four thousand, six hundred".