2721618900 has 1152 divisors, whose sum is σ = 12599193600. Its totient is φ = 485222400.

The previous prime is 2721618871. The next prime is 2721618901. The reversal of 2721618900 is 98161272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721618901) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51351274 + ... + 51351326.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2^2721618900 is an apocalyptic number.

2721618900 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 2721618900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

2721618900 is an abundant number, since it is smaller than the sum of its proper divisors (9877574700).

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

2721618900 is a wasteful number, since it uses less digits than its factorization.

2721618900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2721618900 is about 52169.1374281768. The cubic root of 2721618900 is about 1396.1832947611.

It can be divided in two parts, 27216 and 18900, that multiplied together give a square (514382400 = 22680²).

The spelling of 2721618900 in words is "two billion, seven hundred twenty-one million, six hundred eighteen thousand, nine hundred".