2736218880 has 432 divisors, whose sum is σ = 10356702720. Its totient is φ = 689762304.

The previous prime is 2736218843. The next prime is 2736218887. The reversal of 2736218880 is 888126372.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2736218887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5909529 + ... + 5909991.

Almost surely, 2^2736218880 is an apocalyptic number.

2736218880 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 2736218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178351360).

2736218880 is an abundant number, since it is smaller than the sum of its proper divisors (7620483840).

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

2736218880 is an equidigital number, since it uses as much as digits as its factorization.

2736218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2736218880 is about 52308.8795521372. The cubic root of 2736218880 is about 1398.6754274585.

The spelling of 2736218880 in words is "two billion, seven hundred thirty-six million, two hundred eighteen thousand, eight hundred eighty".