2109238400360 has 384 divisors, whose sum is σ = 6305478268320. Its totient is φ = 627225919488.

The previous prime is 2109238400279. The next prime is 2109238400371. The reversal of 2109238400360 is 630048329012.

It can be written as a sum of positive squares in 16 ways, for example, as 2043582436 + 2107194817924 = 45206^2 + 1451618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282849752 + ... + 282857208.

Almost surely, 2^{2109238400360} is an apocalyptic number.

2109238400360 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 2109238400360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152739134160).

2109238400360 is an abundant number, since it is smaller than the sum of its proper divisors (4196239867960).

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

2109238400360 is a wasteful number, since it uses less digits than its factorization.

2109238400360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8165 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 2109238400360 in words is "two trillion, one hundred nine billion, two hundred thirty-eight million, four hundred thousand, three hundred sixty".